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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2022-06-29</periodOfReport>

    <dateOfOriginalSubmission>2022-07-01</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001737927</issuerCik>
        <issuerName>Canopy Growth Corp</issuerName>
        <issuerTradingSymbol>CGC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000016918</rptOwnerCik>
            <rptOwnerName>CONSTELLATION BRANDS, INC.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>207 HIGH POINT DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>BUILDING 100</rptOwnerStreet2>
            <rptOwnerCity>VICTOR</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14564</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001746720</rptOwnerCik>
            <rptOwnerName>Greenstar Canada Investment Limited Partnership</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1055 WEST HASTINGS STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 1700</rptOwnerStreet2>
            <rptOwnerCity>VANCOUVER</rptOwnerCity>
            <rptOwnerState>A1</rptOwnerState>
            <rptOwnerZipCode>V6E 2E9</rptOwnerZipCode>
            <rptOwnerStateDescription>BRITISH COLUMBIA, CANADA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001746721</rptOwnerCik>
            <rptOwnerName>Greenstar Canada Investment Corp</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1055 WEST HASTINGS STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 1700</rptOwnerStreet2>
            <rptOwnerCity>VANCOUVER</rptOwnerCity>
            <rptOwnerState>A1</rptOwnerState>
            <rptOwnerZipCode>V6E 2E9</rptOwnerZipCode>
            <rptOwnerStateDescription>BRITISH COLUMBIA, CANADA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001679057</rptOwnerCik>
            <rptOwnerName>Constellation Brands Canada Holdings ULC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>QUEEN'S MARQUE</rptOwnerStreet1>
            <rptOwnerStreet2>600-1741 LOWER WATER STREET</rptOwnerStreet2>
            <rptOwnerCity>HALIFAX</rptOwnerCity>
            <rptOwnerState>A5</rptOwnerState>
            <rptOwnerZipCode>B3J 0J2</rptOwnerZipCode>
            <rptOwnerStateDescription>NOVA SCOTIA, CANADA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001807236</rptOwnerCik>
            <rptOwnerName>Constellation Capital LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>207 HIGH POINT DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>BUILDING 100</rptOwnerStreet2>
            <rptOwnerCity>VICTOR</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14564</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001051699</rptOwnerCik>
            <rptOwnerName>CONSTELLATION INTERNATIONAL HOLDINGS LTD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>207 HIGH POINT DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>BUILDING 100</rptOwnerStreet2>
            <rptOwnerCity>VICTOR</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>14564</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2022-06-29</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>29245456</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.6245</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>66999258</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>by Greenstar Canada Investment Limited Partnership</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">As previously reported on the Form 4 filed by the Reporting Persons on July 1, 2022, Greenstar Canada Investment Limited Partnership (&quot;GCILP&quot;) entered into an Exchange Agreement, dated June 29, 2022 (the &quot;Exchange Agreement&quot;), with the Issuer whereby GCILP agreed to exchange C$100 million principal amount of the Issuer's 4.25% Convertible Senior Notes due 2023 for Common Shares.  The number of Common Shares issued to GCILP was calculated based on the volume-weighted average trading price of the Common Shares on the NASDAQ Global Select Market for a 10-day period beginning on and including June 30, 2022 (the &quot;Exchange Price&quot;), provided that the Exchange Price would not be less than $2.50 or more than $3.50.  The Reporting Persons are filing this amended Form 4 to disclose the final amount of Common Shares issued to GCILP as a result of the exchange contemplated by the Exchange Agreement.</footnote>
        <footnote id="F2">(continued from footnote 1) The Exchange Price was $2.6245, and therefore, an aggregate of 29,245,456 Common Shares were issued to GCILP on July 18, 2022.</footnote>
        <footnote id="F3">These shares are owned directly by GCILP, whose general partner is Greenstar Canada Investment Corporation (&quot;GCIC&quot;), which is a wholly-owned subsidiary of Constellation Brands Canada Holdings ULC (&quot;CBCH&quot;), which is a wholly-owned subsidiary of Constellation Capital LLC (&quot;CC&quot;), which is a wholly-owned subsidiary of Constellation International Holdings Limited (&quot;CIHL&quot;), which is a wholly-owned subsidiary of Constellation Brands, Inc. (&quot;CBI&quot;). GCIC, CBCH, CC, CIHL and CBI are indirect beneficial owners of the reported shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Brian Bennett, Vice President &amp; Assistant Secretary of Constellation Brands, Inc.</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Brian Bennett, Secretary of Greenstar Canada Investment Corporation, acting as General Partner of Greenstar Canada Investment Corporation Limited Partnership</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Brian Bennett, Secretary of Greenstar Canada Investment Corporation</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Brian Bennett, Secretary of Constellation Brands Canada Holdings ULC</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Brian Bennett, Assistant Secretary of Constellation Capital LLC</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Brian Bennett, Assistant Secretary of Constellation International Holdings Limited</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
