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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-04-20</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000900349</issuerCik>
        <issuerName>PERRY ELLIS INTERNATIONAL, INC</issuerName>
        <issuerTradingSymbol>PERY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001224819</rptOwnerCik>
            <rptOwnerName>SILVERSTEIN STANLEY P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3000 N.W. 107TH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MIAMI</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33172</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Pres-Int'l Dev &amp; Global Lic</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-04-20</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>19094</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>98768</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents (i) 3,819 shares of restricted stock granted under the Issuer's 2015 Long-Term Incentive Compensation Plan (the &quot;Plan&quot;), the successor to the Second Amended and Restated 2005 Long-Term Incentive Compensation Plan (the &quot;2005 Plan&quot;), which vest in three equal annual installments commencing on April 20, 2017; and (ii) 15,275 shares of performance stock granted under the Plan, which vest up to 100% provided that certain performance goals have been achieved and the Reporting Person is still an employee of the Company as of the last day of fiscal 2019.  With respect to the grant in (ii), the Reporting Person may be entitled to additional performance stock if the Company exceeds the performance goals.</footnote>
        <footnote id="F2">Includes (i) 3,819 shares of restricted stock granted under the Plan, which vest in three equal annual installments commencing on April 20, 2017; (ii) 15,275 shares of performance stock granted under the Plan, which vest up to 100% provided that certain performance goals have been achieved and the Reporting Person is still an employee of the Company as of the last day of fiscal 2019; (iii) 4,674 shares of restricted stock granted under the 2005 Plan, 1,558 shares of which vest on April 22, 2016, and 3,116 shares of which vest in two equal annual installments commencing on April 22, 2017; and (iv) 75,000 shares of restricted stock granted under 2005 Plan, which vest in three equal annual installments commencing on September 9, 2016. With respect to the grant in (ii), the Reporting Person may be entitled to additional performance stock if the Company exceeds the performance goals.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Cory Shade by Power of Attorney</signatureName>
        <signatureDate>2016-04-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
