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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-09-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001851027</rptOwnerCik>
            <rptOwnerName>SIEGEL LAURENCE HILLARD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>655 MONTGOMERY STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 1000</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP of Products</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-09-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2161</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.56</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>342942</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Performance Share Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>100000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>100000</value>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The reported securities represent shares withheld by the Company to cover taxes associated with the vesting and settlement of Restricted Stock Units (&quot;RSUs&quot;).</footnote>
        <footnote id="F2">The reporting person previously reported awards of 100,000 Performance Share Units (&quot;PSUs&quot;) in Table I. The total reported in Column 5 excludes these PSUs which are now reported in Table II. Following the reported transaction, the reporting person holds 180,803 shares of Class A Common Stock and 162,139 RSUs.</footnote>
        <footnote id="F3">Each PSU represents a contingent right to receive one share of Class A Common Stock of LiveVox Holdings, Inc.</footnote>
        <footnote id="F4">The PSUs are subject to both time-based and performance vesting. Twenty-five percent of the PSUs will vest on June 21, 2022 and the remaining shares will vest in twelve equal quarterly installments thereafter. In addition, the PSUs are divided into three equal performance tranches with performance vesting to occur if, for any 20 trading days out of 30 consecutive trading days beginning after August 18, 2021, the per share VWAP is greater than the applicable VWAP hurdle. The VWAP hurdles for the first, second and third performance tranches are $12.50, $15.00 and $17.50, respectively.</footnote>
        <footnote id="F5">The PSUs were previously reported in Table I and are now reported in Table II.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>S. Gregory Clevenger, by Power of Attorney, for Laurence H. Siegel</signatureName>
        <signatureDate>2022-09-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
