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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-04-25</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>2017-04-25</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>14267</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>85447</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents (i) 3,399 restricted shares granted under the 2015 Long-Term Incentive Compensation Plan (the &quot;Plan&quot;), successor to the Second Amended and Restated 2005 Long-Term Incentive Compensation Plan (the &quot;2005 Plan&quot;), which vest over three years beginning April 25, 2018; and (ii) 10,868 performance shares granted under the Plan, which vest up to 100% if certain performance goals are met and the Reporting Person is employed by the Company on the last day of fiscal 2020 (and the Reporting Person may be entitled to additional performance shares if the Company exceeds the performance goals).</footnote>
        <footnote id="F2">Includes (i) 3,399 restricted shares granted under the Plan, which vest over three years beginning April 25, 2018; (ii) 10,868 performance shares granted under the Plan, which vest up to 100% if certain performance goals are met and the Reporting Person is employed by the Company on the last day of fiscal 2020 (and the Reporting Person may be entitled to additional performance shares if the Company exceeds the performance goals); (iii) 2,545 restricted shares granted under the Plan, which vest over two years beginning April 20, 2018;</footnote>
        <footnote id="F3">[Continuation of Footnote (2)] (iv) 15,275 performance shares granted under the Plan, which vest up to 100% if certain performance goals are met and the Reporting Person is employed by the Company on the last day of fiscal 2019 (and the Reporting Person may be entitled to additional performance shares if the Company exceeds the performance goals); (v) 1,558 restricted shares granted under the 2005 Plan, which vest on April 22, 2018; and (vi) 50,000 restricted shares granted under the 2005 Plan, which vest over two years beginning September 9, 2017.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Cory Shade by Power of Attorney</signatureName>
        <signatureDate>2017-04-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
