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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-11-08</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001217234</issuerCik>
        <issuerName>CareDx, Inc.</issuerName>
        <issuerTradingSymbol>CDNA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001421336</rptOwnerCik>
            <rptOwnerName>Yee James P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CAREDX, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3260 BAYSHORE BOULEVARD</rptOwnerStreet2>
            <rptOwnerCity>BRISBANE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Medical Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Option to Purchase Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>12.40</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2017-11-08</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>21897</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2024-04-08</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>21897</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Option to Purchase Common Stock</value>
                <footnoteId id="F3"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>5.49</value>
                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2017-11-09</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>13359</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F5"/>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>2024-11-09</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>13359</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>13359</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">19,616 of the shares underlying the cancelled option were vested and immediately exercisable. The remaining shares underlying the cancelled option were scheduled to vest monthly in increments of 1/48th of the shares subject to the options.</footnote>
        <footnote id="F2">On November 8, 2017, pursuant to the offer by CareDx, Inc. (the &quot;Company&quot;) to exchange certain outstanding stock options for new options as more fully described in the Schedule TO-I, filed with the Securities Exchange Commission on October 12, 2017, as amended and supplemented on October 24, 2017 and November 9, 2017(the &quot;Exchange Offer&quot;), the Company cancelled a stock option for 21,897 shares granted to the reporting person on April 8, 2014. In exchange for such cancelled stock option, the reporting person received a stock option for 13,359 shares.</footnote>
        <footnote id="F3">Represents a stock option granted pursuant to the Exchange Offer (the &quot;New Options&quot;).</footnote>
        <footnote id="F4">The exercise price per share equals the closing price per share of the Company's common stock, as quoted by NASDAQ, on November 9, 2017.</footnote>
        <footnote id="F5">The New Options are scheduled to vest in three equal installments based upon the Company's achievement of certain performance goals as follows: (i) one third of the New Options vest upon the Company's determination, which has been reviewed by the Company's independent registered public accounting firm, that the Company has achieved $10 million of total cumulative sales of Allosure, its proprietary next-generation sequencing-based test to detect donor-derived, cell-free DNA after transplantation, commencing after the completion of the Exchange Offer, (ii) one third of the New Options vest upon the Company's determination, which has been reviewed by the Company's independent registered public accounting firm, that the Company has achieved quarterly revenues of at least $18.75 million for two consecutive fiscal quarters commencing after the completion of the Exchange Offer,</footnote>
        <footnote id="F6">(Continued from Footnote 5) and (iii) one third of the New Options vest in the event the closing sales price of the Company's common stock is at or above $5.00 per share, as quoted by NASDAQ, for 10 consecutive trading days after the completion of the Exchange Offer.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Peter Maag as attorney-in-fact for James P. Yee, Ph.D.</signatureName>
        <signatureDate>2017-11-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
