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    <periodOfReport>2023-10-02</periodOfReport>

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    <issuer>
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        <issuerName>Oncternal Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>ONCT</issuerTradingSymbol>
    </issuer>

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            <rptOwnerCik>0001269341</rptOwnerCik>
            <rptOwnerName>VINCENT RICHARD G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>12230 EL CAMINO REAL, SUITE 230</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92130</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
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    <footnotes>
        <footnote id="F1">The shares subject to the option (the &quot;Option Shares&quot;) are fully vested.</footnote>
        <footnote id="F2">On October 2, 2023, the Issuer repriced the option. Except as described further in footnotes 7 and 8, all other terms of the option remain unchanged.</footnote>
        <footnote id="F3">25% of the Option Shares vested on February 11, 2022, and the remaining Option Shares vest in 36 equal monthly installments thereafter, subject to the recipient's continued service.</footnote>
        <footnote id="F4">25% of the Option Shares vested on January 20, 2023, and the remaining Option Shares vest in 36 equal monthly installments thereafter, subject to the recipient's continued service.</footnote>
        <footnote id="F5">50% of the Option Shares vested on July 3, 2023, and 50% of the Option Shares vest on January 3, 2024, subject to the recipient's continued service. All of the Option Shares vest in the event of a Change in Control (as defined in the Issuer's 2019 Incentive Award Plan).</footnote>
        <footnote id="F6">25% of the Option Shares vest on February 21, 2024, and the remaining Option Shares vest in 36 equal monthly installments thereafter, subject to the recipient's continued service.</footnote>
        <footnote id="F7">The exercise price of the option is $0.31 per share, representing the fair market value per share of the common stock on the grant date; provided that the exercise price will be increased to the original exercise price before repricing if, prior to October 2, 2024: (i) recipient's employment or service terminates, other than due to death, disability, or circumstances giving rise to severance under the recipient's employment agreement (a &quot;Qualifying Termination&quot;); or (ii) the option is exercised.</footnote>
        <footnote id="F8">The exercise price of the option is $0.31 per share, representing the fair market value per share of the common stock on the grant date; provided that the exercise price will be increased to the original exercise price before repricing if, prior to April 2, 2025: (i) recipient's employment or service terminates, other than due to a Qualifying Termination; or (ii) the option is exercised.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Chase C. Leavitt, Attorney-in-fact</signatureName>
        <signatureDate>2023-10-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
