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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-02-15</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001720821</issuerCik>
        <issuerName>PAE Inc</issuerName>
        <issuerTradingSymbol>PAE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001676357</rptOwnerCik>
            <rptOwnerName>Platinum Equity Investment Holdings III, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001228754</rptOwnerCik>
            <rptOwnerName>PLATINUM EQUITY LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC,</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE,</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001757175</rptOwnerCik>
            <rptOwnerName>Platinum Equity Investment Holdings III Manager, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC,</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE,</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001471783</rptOwnerCik>
            <rptOwnerName>Gores Tom</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PLATINUM EQUITY ADVISORS, LLC,</rptOwnerStreet1>
            <rptOwnerStreet2>360 NORTH CRESCENT DRIVE,</rptOwnerStreet2>
            <rptOwnerCity>BEVERLY HILLS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-02-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>22466228</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.05</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Warrants</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>11.50</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2022-02-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>958170</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F5"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2020-03-11</value>
            </exerciseDate>
            <expirationDate>
                <value>2025-02-10</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>958170</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Disposed of pursuant to the agreement and plan of merger (the &quot;Merger Agreement&quot;), dated as of October 25, 2021, between the Issuer, Amentum Government Services Holdings LLC (&quot;Parent&quot;) and Pinnacle Virginia Merger Sub Inc., a wholly owned indirect subsidiary of Parent (&quot;Merger Sub&quot;). On the Closing Date, Merger Sub merged with and into the Issuer, with the Issuer continuing as the surviving corporation (the &quot;Surviving Corporation&quot;) and a wholly owned indirect subsidiary of Parent (the &quot;Merger&quot;).</footnote>
        <footnote id="F2">Represents 20,919,578 shares of Class A Common Stock (&quot;Common Stock&quot;) previously held by PE Shay Holdings, LLC and 1,546,650 shares of Common Stock previously held by Platinum Equity, LLC. Platinum Equity Capital Shay Partners I, L.P., Platinum Equity Capital Shay Partners II, L.P., Platinum Equity Capital Partners-A III, L.P., Platinum Equity Capital Partners-B III, L.P., Platinum Equity Capital Partners-C III, L.P. (collectively, the &quot;Platinum Funds&quot;) and Platinum Shay Principals, LLC collectively own all of the equity interests of PE Shay Holdings, LLC. As a result, the Platinum Funds and Platinum Shay Principals, LLC may be deemed to beneficially own the securities held by PE Shay Holdings, LLC.</footnote>
        <footnote id="F3">Platinum Equity, LLC is the sole member of Platinum Equity Investment Holdings III Manager, LLC, which is the sole manager of Platinum Equity Investment Holdings III, LLC, which is the senior managing member of each of Platinum Shay Principals, LLC and Platinum Equity Partners III, LLC. Platinum Equity Partners III, LLC is the general partner of each of the Platinum Funds. Therefore, each of the foregoing entities may be deemed to share beneficial ownership of the securities beneficially owned by the Platinum Funds and Platinum Shay Principals, LLC.</footnote>
        <footnote id="F4">Mr. Gores is the Chairman and Chief Executive Officer of Platinum Equity, LLC. As a result, Mr. Gores may be deemed to share voting and investment power with respect to all shares of Common Stock of the Issuer beneficially owned by Platinum Equity, LLC. Mr. Gores disclaims any beneficial ownership with respect to such securities except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F5">Pursuant to the Merger Agreement and following the closing of the Merger, each warrant exercisable for shares of Common Stock (the &quot;Warrants&quot;) automatically became a warrant of the Surviving Corporation and the exercise price of the Warrants was adjusted in accordance with the terms of the warrant agreement, dated as of September 6, 2018, by and between the Issuer and Continental Stock Transfer &amp; Trust Company, as the warrant agent (the &quot;Warrant Agreement&quot;). Following the closing of the Merger, no shares of Common Stock are purchasable pursuant to the Warrants and each holder of a Warrant, including Platinum Equity, LLC, is entitled to receive an amount in cash as calculated pursuant to the Warrant Agreement.</footnote>
        <footnote id="F6">Represents securities held by Platinum Equity, LLC.</footnote>
    </footnotes>

    <remarks>Due to the limitations of the electronic filing system Platinum Equity Partners III, LLC, Platinum Equity Capital Shay Partners I, L.P., Platinum Equity Capital Shay Partners II, L.P., Platinum Equity Capital Partners-A III, L.P., Platinum Equity Capital Partners-B III, L.P., Platinum Equity Capital Partners-C III, L.P. and PE Shay Holdings, LLC are filing a separate Form 4.</remarks>

    <ownerSignature>
        <signatureName>Platinum Equity, LLC By: /s/ Barbara Velasco, Assistant Secretary</signatureName>
        <signatureDate>2022-02-17</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Platinum Equity Investment Holdings III Manager, LLC By: /s/ Mary Ann Sigler, Secretary</signatureName>
        <signatureDate>2022-02-17</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Platinum Equity Investment Holdings III, LLC By: /s/ Mary Ann Sigler, Secretary</signatureName>
        <signatureDate>2022-02-17</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tom Gores By: /s/ Mary Ann Sigler, Attorney-in-Fact</signatureName>
        <signatureDate>2022-02-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
