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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-06-03</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001408710</issuerCik>
        <issuerName>Fabrinet</issuerName>
        <issuerTradingSymbol>FN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001074351</rptOwnerCik>
            <rptOwnerName>HSU TA LIN</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O H&amp;Q ASIA PACIFIC, SUITE 2018</rptOwnerStreet1>
            <rptOwnerStreet2>HUTCHISON HOUSE, 10 HARCOURT RD, CENTRAL</rptOwnerStreet2>
            <rptOwnerCity>HONG KONG</rptOwnerCity>
            <rptOwnerState>K3</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>HONG KONG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2014-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3150000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>18.00</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3143564</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Asia Pacific Growth Fund III, L.P and H&amp;Q Asia Pacific, Ltd.</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On June 3, 2014, pursuant to an underwriting agreement entered into on May 28, 2014, among Fabrinet, Asia Pacific Growth Fund III, L.P. (&quot;APGF III&quot;) and Morgan Stanley &amp; Co. LLC, as underwriter (the &quot;Underwriter&quot;), APGF III sold 3,150,000 ordinary shares to the Underwriter.</footnote>
        <footnote id="F2">Represents price of $18.00 per ordinary share paid by the Underwriter to APGF III.</footnote>
        <footnote id="F3">Consists of (i) 3,107,063 shares held by APGF III and (ii) 36,501 shares held by H&amp;Q Asia Pacific, Ltd.  The Reporting Person is chairman of H&amp;Q Asia Pacific, Ltd. and a member of the investment committee of Asia Pacific Associates III, Ltd., which is the general partner of APGF III.  The reporting person disclaims beneficial ownership of these securities except to the extent of his pecuniary interest therein and the inclusion of these shares in this report shall not be deemed an admission of beneficial ownership of all of the reported shares for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Ta-lin Hsu</signatureName>
        <signatureDate>2014-06-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
