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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-05-04</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001517228</issuerCik>
        <issuerName>CommScope Holding Company, Inc.</issuerName>
        <issuerTradingSymbol>COMM</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001210255</rptOwnerCik>
            <rptOwnerName>WYATT FRANK B II</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O COMMSCOPE HOLDING COMPANY, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>1100 COMMSCOPE PLACE, SE</rptOwnerStreet2>
            <rptOwnerCity>HICKORY</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28602</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SVP, General Counsel &amp; Sec</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-05-04</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>9000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>27.9863</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>72380</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The price shown is the weighted average prices of the shares purchased in this transaction.  The price range for this transaction is $27.87 to $28.10.  The reporting person undertakes to provide, upon request by the staff of the Securities and Exchange Commission, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased at each separate price for this transaction.</footnote>
        <footnote id="F2">As previously reported, includes (a) 7,824 restricted stock units that were granted on 03/01/2018 and will vest ratably on 03/01/2019, 03/01/2020 and 03/01/2021; (b) 3,275 restricted stock units that were granted on 02/23/2016 and will vest on 02/23/2019; (c) 5,678 performance share units that
were earned on 02/23/2017 and will vest on 02/23/2019; and (d) 5,267 restricted stock units that were granted on 02/27/2017 and will vest
ratably on 02/27/2019 and 02/27/2020, each subject to the reporting person's continued employment with the issuer.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Frank B. Wyatt, II</signatureName>
        <signatureDate>2018-05-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
