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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-02-20</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001618756</issuerCik>
        <issuerName>Restaurant Brands International Inc.</issuerName>
        <issuerTradingSymbol>QSR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001574957</rptOwnerCik>
            <rptOwnerName>MACEDO ALEXANDRE</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>226 WYECROFT ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OAKVILLE</rptOwnerCity>
            <rptOwnerState>A6</rptOwnerState>
            <rptOwnerZipCode>L6K 3X7</rptOwnerZipCode>
            <rptOwnerStateDescription>ONTARIO, CANADA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President,Tim Hortons</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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            </securityTitle>
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            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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            </transactionTimeliness>
            <transactionAmounts>
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                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
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            </transactionAmounts>
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                </sharesOwnedFollowingTransaction>
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        <nonDerivativeTransaction>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
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                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
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                </transactionShares>
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                </transactionPricePerShare>
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                </directOrIndirectOwnership>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
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            <deemedExecutionDate></deemedExecutionDate>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
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                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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            <ownershipNature>
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        <nonDerivativeTransaction>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
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                </transactionShares>
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        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
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            <securityTitle>
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            <exerciseDate>
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            <expirationDate>
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                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
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                </underlyingSecurityShares>
            </underlyingSecurity>
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        </derivativeHolding>
        <derivativeTransaction>
            <securityTitle>
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            </conversionOrExercisePrice>
            <transactionDate>
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                <footnoteId id="F1"/>
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            <transactionTimeliness>
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            </transactionTimeliness>
            <transactionAmounts>
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                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
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            <exerciseDate>
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            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
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                </underlyingSecurityTitle>
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                <transactionPricePerShare>
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            <securityTitle>
                <value>Option (right to buy)</value>
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            <expirationDate>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
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            <exerciseDate>
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            <expirationDate>
                <value>2023-02-28</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
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        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
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            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>27.28</value>
            </conversionOrExercisePrice>
            <exerciseDate>
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            <expirationDate>
                <value>2024-03-06</value>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>100000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>100000</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>42.26</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2019-12-31</value>
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            <expirationDate>
                <value>2025-03-05</value>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                <directOrIndirectOwnership>
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        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
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                <value>42.26</value>
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            <exerciseDate>
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            <expirationDate>
                <value>2025-03-05</value>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>100000</value>
                </underlyingSecurityShares>
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                <sharesOwnedFollowingTransaction>
                    <value>100000</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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        <derivativeHolding>
            <securityTitle>
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            <exerciseDate>
                <footnoteId id="F5"/>
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            <expirationDate>
                <footnoteId id="F5"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>28215</value>
                </underlyingSecurityShares>
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                <sharesOwnedFollowingTransaction>
                    <value>28215</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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        <derivativeHolding>
            <securityTitle>
                <value>Dividend Equivalent Rights</value>
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                <footnoteId id="F7"/>
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            <expirationDate>
                <footnoteId id="F7"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>776.6943</value>
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                <sharesOwnedFollowingTransaction>
                    <value>776.6943</value>
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                <directOrIndirectOwnership>
                    <value>D</value>
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        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>33.67</value>
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            <exerciseDate>
                <value>2021-02-26</value>
            </exerciseDate>
            <expirationDate>
                <value>2026-02-25</value>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
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                <sharesOwnedFollowingTransaction>
                    <value>100000</value>
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                <directOrIndirectOwnership>
                    <value>D</value>
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        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Share Units</value>
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            <exerciseDate>
                <footnoteId id="F8"/>
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            <expirationDate>
                <footnoteId id="F8"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
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                <underlyingSecurityShares>
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                <directOrIndirectOwnership>
                    <value>D</value>
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        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Dividend Equivalent Rights</value>
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            <exerciseDate>
                <footnoteId id="F9"/>
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            <expirationDate>
                <footnoteId id="F9"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
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                    <value>141.1087</value>
                </underlyingSecurityShares>
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                    <value>141.1087</value>
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    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Reporting Person exercised these options in order to retain ownership of all shares, less only those required to be sold to pay the exercise price and applicable taxes.</footnote>
        <footnote id="F2">Each Restaurant Brands International Limited Partnership exchangeable unit is convertible, at the Reporting Person's election, into common shares of Restaurant Brands International Inc. or a cash amount equal to a prescribed cash amount determined by reference to the weighted average trading price of Restaurant Brands International Inc.'s common shares on the New York Stock Exchange for the 20 consecutive trading days ending on the last business day prior to the exchange date, at the sole discretion of the general partner of Restaurant Brands International Limited Partnership (subject to the consent of the Restaurant Brands International Inc. conflicts committee, in certain circumstances). This conversion right has no expiration date.</footnote>
        <footnote id="F3">These options are immediately exercisable.</footnote>
        <footnote id="F4">Each restricted share unit represents a contingent right to receive one common share.</footnote>
        <footnote id="F5">These restricted share units vest on December 31, 2020.</footnote>
        <footnote id="F6">Each whole dividend equivalent right represents a contingent right to receive one common share.</footnote>
        <footnote id="F7">These dividend equivalent rights accrued on the 2016 restricted share unit award (the &quot;2016 RSUs&quot;). Dividend equivalent rights accrue when and as dividends
are paid on the common shares underlying the 2016 RSUs and vest proportionately with and are subject to settlement and expiration upon the same terms as the
2016 RSUs to which they relate.</footnote>
        <footnote id="F8">These restricted share units vest on December 31, 2021.</footnote>
        <footnote id="F9">These dividend equivalent rights accrued on the 2017 restricted share unit award (the &quot;2017 RSUs&quot;). Dividend equivalent rights accrue when and as dividends
are paid on the common shares underlying the 2017 RSUs and vest proportionately with and are subject to settlement and expiration upon the same terms as the
2017 RSUs to which they relate.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Lisa Giles-Klein, as Attorney-in-Fact for Alexandre Macedo</signatureName>
        <signatureDate>2018-02-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
