<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2023 Workiva-->
<!--r:1f4e1c90-b7c0-44b8-90b9-116906615627,g:a72f990b-4572-49e0-b76a-db5f5c19451f-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodStartLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodStartLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/netLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd#netLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedNetLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedNetLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTerseLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodEndLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodEndLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTotalLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTotalLabel"/>
  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:label id="lab_zi_EquityAwardsVestedAndGrantedFairValueMember_label_en-US" xlink:label="lab_zi_EquityAwardsVestedAndGrantedFairValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards, Vested And Granted, Fair Value [Member]</link:label>
    <link:label id="lab_zi_EquityAwardsVestedAndGrantedFairValueMember_documentation_en-US" xlink:label="lab_zi_EquityAwardsVestedAndGrantedFairValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards, Vested And Granted, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_EquityAwardsVestedAndGrantedFairValueMember" xlink:href="zi-20230329.xsd#zi_EquityAwardsVestedAndGrantedFairValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_EquityAwardsVestedAndGrantedFairValueMember" xlink:to="lab_zi_EquityAwardsVestedAndGrantedFairValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_StockAndOptionAwardsAdjustmentMember_label_en-US" xlink:label="lab_zi_StockAndOptionAwardsAdjustmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock and Option Awards Adjustment [Member]</link:label>
    <link:label id="lab_zi_StockAndOptionAwardsAdjustmentMember_documentation_en-US" xlink:label="lab_zi_StockAndOptionAwardsAdjustmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock and Option Awards Adjustment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_StockAndOptionAwardsAdjustmentMember" xlink:href="zi-20230329.xsd#zi_StockAndOptionAwardsAdjustmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_StockAndOptionAwardsAdjustmentMember" xlink:to="lab_zi_StockAndOptionAwardsAdjustmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_EquityAwardsGrantedInPriorYearsVestedMember_label_en-US" xlink:label="lab_zi_EquityAwardsGrantedInPriorYearsVestedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards Granted In Prior Years, Vested [Member]</link:label>
    <link:label id="lab_zi_EquityAwardsGrantedInPriorYearsVestedMember_documentation_en-US" xlink:label="lab_zi_EquityAwardsGrantedInPriorYearsVestedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards Granted In Prior Years, Vested</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_EquityAwardsGrantedInPriorYearsVestedMember" xlink:href="zi-20230329.xsd#zi_EquityAwardsGrantedInPriorYearsVestedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_EquityAwardsGrantedInPriorYearsVestedMember" xlink:to="lab_zi_EquityAwardsGrantedInPriorYearsVestedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember_label_en-US" xlink:label="lab_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards, Change In Fair Value, Outstanding And Unvested [Member]</link:label>
    <link:label id="lab_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember_documentation_en-US" xlink:label="lab_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards, Change In Fair Value, Outstanding And Unvested</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember" xlink:href="zi-20230329.xsd#zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember" xlink:to="lab_zi_EquityAwardsChangeInFairValueOutstandingAndUnvestedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember_label_en-US" xlink:label="lab_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards, Value of Dividends or Other Earnings Paid Adjustment [Member]</link:label>
    <link:label id="lab_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember_documentation_en-US" xlink:label="lab_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards, Value of Dividends or Other Earnings Paid Adjustment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember" xlink:href="zi-20230329.xsd#zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember" xlink:to="lab_zi_EquityAwardsValueOfDividendsOrOtherEarningsPaidAdjustmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_EquityAwardsThatFailedToMeetVestingConditionsMember_label_en-US" xlink:label="lab_zi_EquityAwardsThatFailedToMeetVestingConditionsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards that Failed to Meet Vesting Conditions [Member]</link:label>
    <link:label id="lab_zi_EquityAwardsThatFailedToMeetVestingConditionsMember_documentation_en-US" xlink:label="lab_zi_EquityAwardsThatFailedToMeetVestingConditionsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards that Failed to Meet Vesting Conditions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_EquityAwardsThatFailedToMeetVestingConditionsMember" xlink:href="zi-20230329.xsd#zi_EquityAwardsThatFailedToMeetVestingConditionsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_EquityAwardsThatFailedToMeetVestingConditionsMember" xlink:to="lab_zi_EquityAwardsThatFailedToMeetVestingConditionsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_EquityAwardsGrantedFairValueMember_label_en-US" xlink:label="lab_zi_EquityAwardsGrantedFairValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards Granted, Fair Value [Member]</link:label>
    <link:label id="lab_zi_EquityAwardsGrantedFairValueMember_documentation_en-US" xlink:label="lab_zi_EquityAwardsGrantedFairValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Awards Granted, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_EquityAwardsGrantedFairValueMember" xlink:href="zi-20230329.xsd#zi_EquityAwardsGrantedFairValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_EquityAwardsGrantedFairValueMember" xlink:to="lab_zi_EquityAwardsGrantedFairValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_StockAwardsColumnValueMember_label_en-US" xlink:label="lab_zi_StockAwardsColumnValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock Awards Column Value [Member]</link:label>
    <link:label id="lab_zi_StockAwardsColumnValueMember_documentation_en-US" xlink:label="lab_zi_StockAwardsColumnValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock Awards Column Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_StockAwardsColumnValueMember" xlink:href="zi-20230329.xsd#zi_StockAwardsColumnValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_StockAwardsColumnValueMember" xlink:to="lab_zi_StockAwardsColumnValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_PriorPensionServiceCostMember_label_en-US" xlink:label="lab_zi_PriorPensionServiceCostMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prior Pension Service Cost [Member]</link:label>
    <link:label id="lab_zi_PriorPensionServiceCostMember_documentation_en-US" xlink:label="lab_zi_PriorPensionServiceCostMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prior Pension Service Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_PriorPensionServiceCostMember" xlink:href="zi-20230329.xsd#zi_PriorPensionServiceCostMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_PriorPensionServiceCostMember" xlink:to="lab_zi_PriorPensionServiceCostMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_PensionServiceCostMember_label_en-US" xlink:label="lab_zi_PensionServiceCostMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension Service Cost [Member]</link:label>
    <link:label id="lab_zi_PensionServiceCostMember_documentation_en-US" xlink:label="lab_zi_PensionServiceCostMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension Service Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_PensionServiceCostMember" xlink:href="zi-20230329.xsd#zi_PensionServiceCostMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_PensionServiceCostMember" xlink:to="lab_zi_PensionServiceCostMember" xlink:type="arc" order="1"/>
    <link:label id="lab_zi_ChangeInPensionValueMember_label_en-US" xlink:label="lab_zi_ChangeInPensionValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Pension Value [Member]</link:label>
    <link:label id="lab_zi_ChangeInPensionValueMember_documentation_en-US" xlink:label="lab_zi_ChangeInPensionValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Pension Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_zi_ChangeInPensionValueMember" xlink:href="zi-20230329.xsd#zi_ChangeInPensionValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_zi_ChangeInPensionValueMember" xlink:to="lab_zi_ChangeInPensionValueMember" xlink:type="arc" order="1"/>
  </link:labelLink>
</link:linkbase>
