<?xml version="1.0"?>
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    <documentType>4</documentType>

    <periodOfReport>2020-12-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001800347</issuerCik>
        <issuerName>CC Neuberger Principal Holdings I</issuerName>
        <issuerTradingSymbol>PCPL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001453072</rptOwnerCik>
            <rptOwnerName>Alyeska Investment Group, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>77 WEST WACKER DRIVE, 7TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001456506</rptOwnerCik>
            <rptOwnerName>Alyeska Master Fund, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>77 WEST WACKER DRIVE, 7TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001822287</rptOwnerCik>
            <rptOwnerName>ALYESKA FUND GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>77 WEST WACKER DRIVE, 7TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
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    <reportingOwner>
        <reportingOwnerId>
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            <rptOwnerName>ALYESKA INVESTMENT GROUP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>77 WEST WACKER DRIVE, 7TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001822281</rptOwnerCik>
            <rptOwnerName>ALYESKA INVESTMENTS, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>77 WEST WACKER DRIVE, 7TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001822280</rptOwnerCik>
            <rptOwnerName>PAREKH ANAND</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>77 WEST WACKER DRIVE, 7TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
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                <value></value>
            </transactionTimeliness>
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                <transactionPricePerShare>
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    <footnotes>
        <footnote id="F1">Alyeska Investment Group, L.P. (the &quot;Investment Manager&quot;) is the investment manager of Alyeska Master Fund, L.P. (the &quot;Fund&quot;).  In that capacity, the Investment Manager directs the voting and disposition of securities held by the Fund.  The Fund is the direct owner of 4,633,839 shares of Class A Ordinary Shares, par value $0.0001 per share (&quot;Shares&quot;), of CC Neuberger Principal Holdings I.  The Investment Manager receives an asset-based fee relating to the Shares directly held by the Fund, and does not hold a pecuniary interest in such Shares.</footnote>
        <footnote id="F2">(i) Alyeska Fund GP, LLC is the general partner of the Fund and has an indirect profits interest in the Shares directly held by the Fund; (ii) Alyeska Investment Group, LLC is the sole owner of Alyeska Fund GP, LLC, and has an indirect profits interest in the Shares directly held by the Fund; (iii) Alyeska Investments, LLC (together with Alyeska Fund GP, LLC and Alyeska Investment Group, LLC, the &quot;Upper Tier Entities&quot;) is the managing member of Alyeska Investment Group, LLC and has an indirect profits interest in the Shares directly held by the Fund; and (iv) Anand Parekh is the managing member of Alyeska Investments, LLC and has an indirect profits interest in the Shares directly held by the Fund.</footnote>
        <footnote id="F3">The filing of this Form 4 shall not be construed as an admission that Mr. Parekh or any Upper Tier Entity is or was for the purposes of Section 16(a) of the Securities Exchange Act of 1934, as amended (the &quot;Exchange Act&quot;), or otherwise the beneficial owner of any Shares.  Pursuant to Rule 16a-1(a)(4) of the Exchange Act, each of Mr. Parekh and the Upper Tier Entities disclaims such beneficial ownership, except to the extent of his or its pecuniary interest.</footnote>
        <footnote id="F4">On December 11, 2020, the Fund purchased 49,423 and 37,067 Shares for $10.29 and $10.30 per Share, respectively.</footnote>
        <footnote id="F5">The Reporting Persons are jointly filing this Form 4 pursuant to Rule 16(a)-3(j) under the Exchange Act.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Alyeska Investment Group, L.P., By: /s/ Jason Bragg, Chief Financial Officer</signatureName>
        <signatureDate>2020-12-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Alyeska Master Fund, L.P., By: Alyeska Fund GP, LLC, By: /s/ Jason Bragg, Chief Financial Officer</signatureName>
        <signatureDate>2020-12-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Alyeska Fund GP, LLC, By: /s/ Jason Bragg, Chief Financial Officer</signatureName>
        <signatureDate>2020-12-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Alyeska Investment Group, LLC, By: /s/ Jason Bragg, Chief Financial Officer</signatureName>
        <signatureDate>2020-12-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Alyeska Investments, LLC, By: /s/ Anand Parekh, Managing Member</signatureName>
        <signatureDate>2020-12-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Anand Parekh</signatureName>
        <signatureDate>2020-12-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
