<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-06-18</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001723648</issuerCik>
        <issuerName>LiveVox Holdings, Inc.</issuerName>
        <issuerTradingSymbol>LVOX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001640468</rptOwnerCik>
            <rptOwnerName>Wright Christopher G.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CRESCENT CAPITAL GROUP,</rptOwnerStreet1>
            <rptOwnerStreet2>11100 SANTA MONICA BLVD, SUITE 2000</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former Officer</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>The reporting peron's status as an officer ceased on June 18, 2021.</remarks>

    <ownerSignature>
        <signatureName>/s/ George P. Hawley, as attorney-in-fact</signatureName>
        <signatureDate>2021-06-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
