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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-12-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001501134</issuerCik>
        <issuerName>Invitae Corp</issuerName>
        <issuerTradingSymbol>NVTA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001815185</rptOwnerCik>
            <rptOwnerName>Myers Jason W.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O INVITAE CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>1400 16TH STREET</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94103</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>President, Oncology</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <value>Common Stock</value>
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            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>171872</value>
                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
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                <sharesOwnedFollowingTransaction>
                    <value>1211099</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
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                    <value>152527</value>
                </transactionShares>
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                    <value>1363626</value>
                </sharesOwnedFollowingTransaction>
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            <transactionDate>
                <value>2020-12-16</value>
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                <transactionFormType>4</transactionFormType>
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                    <value>71869</value>
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                <transactionPricePerShare>
                    <value>47.3205</value>
                </transactionPricePerShare>
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            <transactionAmounts>
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                    <value>12082</value>
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                <transactionPricePerShare>
                    <value>46.6375</value>
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                <sharesOwnedFollowingTransaction>
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        <nonDerivativeTransaction>
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            <transactionDate>
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            <transactionCoding>
                <transactionFormType>4</transactionFormType>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>5270</value>
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                <transactionPricePerShare>
                    <value>48.2328</value>
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                    <value>D</value>
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                <sharesOwnedFollowingTransaction>
                    <value>1241065</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-17</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>G</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>300000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
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                <sharesOwnedFollowingTransaction>
                    <value>941065</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
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                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                    <value>D</value>
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                <sharesOwnedFollowingTransaction>
                    <value>859388</value>
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                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
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            <transactionDate>
                <value>2020-12-18</value>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <value></value>
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                <transactionShares>
                    <value>49474</value>
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                <transactionPricePerShare>
                    <value>48.1808</value>
                    <footnoteId id="F5"/>
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                    <value>D</value>
                </transactionAcquiredDisposedCode>
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                <sharesOwnedFollowingTransaction>
                    <value>809914</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>200</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>48.775</value>
                    <footnoteId id="F5"/>
                    <footnoteId id="F10"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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                <sharesOwnedFollowingTransaction>
                    <value>809714</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
                    <value>D</value>
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    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Received in connection with the achievement of a milestone pursuant to the Agreement and Plan of Merger and Plan of Reorganization, dated as of June 21, 2020, by and among the Issuer, Apollo Merger Sub A Inc., a wholly-owned, direct subsidiary of the Issuer, Apollo Merger Sub B LLC, a wholly-owned, direct subsidiary of the Issuer, ArcherDX, Inc., and Kyle Lefkoff, solely in his capacity as holders' representative.</footnote>
        <footnote id="F2">Represents the sale of shares to cover tax withholding obligations associated with the issuance of stock.</footnote>
        <footnote id="F3">The sales of common stock were effected pursuant to a Rule 10b-5 sales plan adopted by the reporting person on October 1, 2020.</footnote>
        <footnote id="F4">Represents a weighted average sale price. Actual sale prices ranged from $45.91 to $46.90 per share.</footnote>
        <footnote id="F5">Reporting person undertakes to provide upon request by the Securities and Exchange Commission, the issuer or a securityholder of the issuer detailed information regarding the price and number of shares sold within the range indicated.</footnote>
        <footnote id="F6">Represents a weighted average sale price. Actual sale prices ranged from $46.91 to $47.90 per share.</footnote>
        <footnote id="F7">Represents a weighted average sale price. Actual sale prices ranged from $47.94 to $48.90 per share.</footnote>
        <footnote id="F8">Represents a weighted average sale price. Actual sale prices ranged from $46.74 to $47.73 per share.</footnote>
        <footnote id="F9">Represents a weighted average sale price. Actual sale prices ranged from $47.74 to $48.73 per share.</footnote>
        <footnote id="F10">Represents a weighted average sale price. Actual sale prices ranged from $48.74 to $48.81 per share.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Thomas Brida, Attorney-in-Fact</signatureName>
        <signatureDate>2020-12-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
