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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-09-26</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001527166</rptOwnerCik>
            <rptOwnerName>Carlyle Group L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548624</rptOwnerCik>
            <rptOwnerName>Carlyle Group Management L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004-2505</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548626</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings I GP Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548627</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings I GP Sub L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548628</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings I L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000933790</rptOwnerCik>
            <rptOwnerName>TC Group, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548639</rptOwnerCik>
            <rptOwnerName>TC Group Sub L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001589863</rptOwnerCik>
            <rptOwnerName>TC Group CommScope Holdings, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001589856</rptOwnerCik>
            <rptOwnerName>Carlyle-CommScope Holdings, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220S</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-09-26</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>10000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>30.37</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19716970</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Carlyle-CommScope Holdings, L.P. is the record holder of these shares of common stock. Carlyle Group Management L.L.C. is the general partner of The Carlyle Group L.P., which is a publicly traded entity listed on NASDAQ. The Carlyle Group L.P. is the sole shareholder of Carlyle Holdings I GP Inc., which is the managing member of Carlyle Holdings I GP Sub L.L.C., which is the general partner of Carlyle Holdings I L.P., which is the managing member of TC Group, L.L.C., which is the general partner of TC Group Sub, L.P., which is the managing member of TC Group CommScope Holdings, L.L.C., which is the general partner of Carlyle-CommScope Holdings, L.P.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>THE CARLYLE GROUP L.P. By: Carlyle Group Management L.L.C., its general partner, By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CARLYLE GROUP MANAGEMENT L.L.C. By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CARLYLE HOLDINGS I GP INC. By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CARLYLE HOLDINGS I GP SUB L.L.C. By: Carlyle Holdings I GP Inc., its managing member, By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CARLYLE HOLDINGS I L.P. By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC GROUP, L.L.C. By: Carlyle Holdings I L.P., its managing member By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC GROUP SUB, L.P. By: TC Group, L.L.C., its general partner By: Carlyle Holdings I L.P., its managing member By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC GROUP COMMSCOPE HOLDINGS, L.L.C. By: TC Group Sub, L.P., its managing member By: TC Group, L.L.C., its general partner By: Carlyle Holdings I L.P., its managing member By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CARLYLE-COMMSCOPE HOLDINGS, L.P. By: TC Group CommScope Holdings, L.L.C., its general partner By: TC Group Sub, L.P., managing member By: TC Group, L.L.C., general partner By: Carlyle Holdings I L.P., managing member By: /s/ Daniel A. D'Aniello, Chairman</signatureName>
        <signatureDate>2016-09-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
