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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-01-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001574771</rptOwnerCik>
            <rptOwnerName>Kobza Joshua</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>CFO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
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                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
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        </nonDerivativeHolding>
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            <underlyingSecurity>
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            <underlyingSecurity>
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            <exerciseDate>
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            <expirationDate>
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            <underlyingSecurity>
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                <underlyingSecurityShares>
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            <exerciseDate>
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            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
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            <exerciseDate>
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            </exerciseDate>
            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
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            <ownershipNature>
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        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
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            </securityTitle>
            <conversionOrExercisePrice>
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            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2019-12-31</value>
            </exerciseDate>
            <expirationDate>
                <value>2025-03-05</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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            </underlyingSecurity>
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        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
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            </securityTitle>
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            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2020-03-06</value>
            </exerciseDate>
            <expirationDate>
                <value>2025-03-05</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>300000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
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                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Share Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            <exerciseDate>
                <footnoteId id="F4"/>
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            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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            <ownershipNature>
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                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeTransaction>
            <securityTitle>
                <value>Dividend Equivalent Rights</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-01-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>92.0642</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
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            <expirationDate>
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            <underlyingSecurity>
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                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Performance Share Units</value>
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            <conversionOrExercisePrice>
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            <exerciseDate>
                <value>2021-02-26</value>
            </exerciseDate>
            <expirationDate>
                <value>2021-02-26</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>350000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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        </derivativeHolding>
        <derivativeTransaction>
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                <value>Dividend Equivalent Rights</value>
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            <transactionDate>
                <value>2018-01-03</value>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1205.4794</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
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            <exerciseDate>
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            </exerciseDate>
            <expirationDate>
                <footnoteId id="F9"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1205.4794</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9634.6981</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Share Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            <exerciseDate>
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            <expirationDate>
                <footnoteId id="F10"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>20114</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>20114</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
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                </directOrIndirectOwnership>
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        </derivativeHolding>
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            <securityTitle>
                <value>Dividend Equivalent Rights</value>
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            <conversionOrExercisePrice>
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            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>68.2856</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
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            </exerciseDate>
            <expirationDate>
                <footnoteId id="F11"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>68.2856</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>257.8829</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>56.92</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2022-05-05</value>
            </exerciseDate>
            <expirationDate>
                <value>2027-05-04</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>200000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>200000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">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="F2">These options are immediately exerciseable.</footnote>
        <footnote id="F3">Each restricted share unit represents a contingent right to receive one common share.</footnote>
        <footnote id="F4">These restricted share units vest on December 31, 2020.</footnote>
        <footnote id="F5">Each whole dividend equivalent right represents a contingent right to receive one common share.</footnote>
        <footnote id="F6">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="F7">The shares reported represent an award of performance based restricted share units (the &quot;PBRSUs&quot;) granted to the Reporting Person. The PBRSUs will have a three-year performance period beginning January 1, 2015 and ending December 31, 2018 and will vest 100% on February 24, 2021, which is the fifth anniversary of the grant date. The number of common shares that will be earned at the end of the three-year performance period is subject to increase or decrease based on the results of the Issuer performance condition.</footnote>
        <footnote id="F8">Each whole dividend equivalent right represents a contingent right to receive one common share, subject to increase or decrease based on the results of the Issuer performance condition.</footnote>
        <footnote id="F9">These dividend equivalent rights accrued on the PBRSUs. Dividend equivalent rights accrue when and as dividends are paid on the common shares underlying the PBRSUs and vest proportionately with and are subject to settlement and expiration upon the same terms as the PBRSUs to which they relate.</footnote>
        <footnote id="F10">These restricted share units vest on December 31, 2021.</footnote>
        <footnote id="F11">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/ Jill Granat, As Attorney-in-Fact for Joshua Kobza</signatureName>
        <signatureDate>2018-01-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
