<?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>0001839441</rptOwnerCik>
            <rptOwnerName>Schlesinger Michael A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ORTHO CLINICAL DIAGNOSTICS HOLDINGS</rptOwnerStreet1>
            <rptOwnerStreet2>1001 ROUTE 202</rptOwnerStreet2>
            <rptOwnerCity>RARITAN</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>08869</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP, GC and Secretary</officerTitle>
        </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>87637</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>12.56</value>
            </conversionOrExercisePrice>
            <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>310713</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2029-12-20</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares, $0.00001 par value</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>310713</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <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">At the Effective Time, each stock option, whether vested or unvested, was converted into (a) a Coronado Topco stock option on the same terms and conditions as were applicable to such stock option immediately prior to the Effective Time, except as adjusted by the BCA, (b) with respect to the portion of such stock option that is vested as of the Effective Time, the right to receive payment, in cash, equal to the cash consideration payable in respect of the Issuer's securities subject to the vested portion of such stock option and (c) with respect to the portion of such stock option that is not vested as of the Effective Time, the right to receive payment, in cash, equal to the cash consideration payable in respect of the Issuer's securities subject to the unvested portion of such stock option when it vests in accordance with its terms.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Michael A. Schlesinger</signatureName>
        <signatureDate>2022-06-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
