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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-05-27</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001828443</issuerCik>
        <issuerName>Ortho Clinical Diagnostics Holdings plc</issuerName>
        <issuerTradingSymbol>OCDX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001527166</rptOwnerCik>
            <rptOwnerName>Carlyle Group Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP, 1001</rptOwnerStreet1>
            <rptOwnerStreet2>PENNSYLVANIA AVE., N.W., SUITE 220</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>0001548629</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings II GP L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>0001548630</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings II L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>0001790577</rptOwnerCik>
            <rptOwnerName>CG Subsidiary Holdings L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP, 1001</rptOwnerStreet1>
            <rptOwnerStreet2>PENNSYLVANIA AVE. N.W., SUITE 220</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>0001475444</rptOwnerCik>
            <rptOwnerName>TC Group Cayman Investment Holdings, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>0001548636</rptOwnerCik>
            <rptOwnerName>TC Group Cayman Investment Holdings Sub L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>0001838774</rptOwnerCik>
            <rptOwnerName>TC Group VI Cayman, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>0001838781</rptOwnerCik>
            <rptOwnerName>TC Group VI Cayman, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>0001838776</rptOwnerCik>
            <rptOwnerName>Carlyle Partners VI Cayman Holdings, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220</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>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares, $0.00001 par value</value>
            </securityTitle>
            <transactionDate>
                <value>2022-05-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>118106000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to the Business Combination Agreement, dated December 22, 2021 (the &quot;BCA&quot;), by and among Coronado Topco, Inc. (&quot;Coronado Topco&quot;), Laguna Merger Sub, Inc., Orca Holdco, Inc., Orca Holdco 2, Inc., Quidel Corporation and the Issuer, the Issuer became a wholly owned subsidiary of Coronado Topco upon consummation of the business combinations (the &quot;Effective Time&quot;). At the Effective Time, each of the Issuer's ordinary shares was automatically converted into the right to receive (i) 0.1055 shares of common stock of Coronado Topco and (ii) $7.14 in cash.</footnote>
        <footnote id="F2">Reflects ordinary shares held of record by Carlyle Partners VI Cayman Holdings, L.P. (the &quot;Carlyle Investor&quot;). The Carlyle Group Inc., a publicly traded company listed on Nasdaq, is the sole member of Carlyle Holdings II GP L.L.C., which is the managing member of Carlyle Holdings II L.L.C., which, with respect to the securities reported herein, is the managing member of CG Subsidiary Holdings L.L.C., which is the general partner of TC Group Cayman Investment Holdings, L.P., which is the general partner of TC Group Cayman Investment Holdings Sub L.P., which is the sole member of TC Group VI Cayman, L.L.C., which is the general partner of TC Group VI Cayman, L.P., which is the general partner of the Carlyle Investor.</footnote>
        <footnote id="F3">Voting and investment determinations with respect to the ordinary shares held of record by the Carlyle Investor are made by an investment committee of TC Group VI Cayman, L.P. Accordingly, each of the foregoing entities may be deemed to share beneficial ownership of the securities held of record by the Carlyle Investor. Each of them disclaims beneficial ownership of such securities.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>The Carlyle Group Inc., By: /s/ Anne Frederick, Attorney-in-fact for Curtis L. Buser, Managing Director and Chief Financial Officer</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carlyle Holdings II GP L.L.C., By: The Carlyle Group Inc., its sole member, By: /s/ Anne Frederick, Attorney in fact for Curtis L. Buser, Managing Director and Chief Financial Officer</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carlyle Holdings II L.L.C., By /s/ Anne Frederick, Attorney-in-fact for Curtis L. Buser, Managing Director</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CG Subsidiary Holdings L.L.C., By: /s/ Anne Frederick, Attorney-in-fact for Curtis L. Buser, Managing Director</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC Group Cayman Investment Holdings, L.P., By: CG Subsidiary Holdings L.L.C., its general partner, By: /s/ Anne Frederick, Attorney-in-fact for Curtis L. Buser, Managing Director</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC Group Cayman Investment Holdings Sub L.P., By: TC Group Cayman Investment Holdings, L.P., its general partner, By: CG Subsidiary Holdings L.L.C., its general partner, By: /s/ Anne Frederick, Attorney in fact for Curtis L. Buser, Managing Director</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC Group VI Cayman, L.L.C., By: /s/ Jeremy W. Anderson, Authorized Person</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC Group VI Cayman, L.P., By: /s/ Jeremy W. Anderson, Authorized Person</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carlyle Partners VI Cayman Holdings, L.P., By: /s/ Jeremy W. Anderson, Authorized Person</signatureName>
        <signatureDate>2022-05-31</signatureDate>
    </ownerSignature>
</ownershipDocument>
