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

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    <periodOfReport>2023-07-31</periodOfReport>

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    <issuer>
        <issuerCik>0001832483</issuerCik>
        <issuerName>Patricia Acquisition Corp.</issuerName>
        <issuerTradingSymbol>NONE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001983489</rptOwnerCik>
            <rptOwnerName>Kashani Ali Haghighat</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SERVE ROBOTICS INC.</rptOwnerStreet1>
            <rptOwnerStreet2>730 BROADWAY</rptOwnerStreet2>
            <rptOwnerCity>REDWOOD CITY</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94063</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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    <derivativeTable>
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            <expirationDate>
                <value>2028-06-06</value>
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                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
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                </underlyingSecurityShares>
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                    <value>Common Stock</value>
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                <underlyingSecurityShares>
                    <value>19373</value>
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                    <value>D</value>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Warrants (Right to Buy)</value>
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                <value>3.20</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2023-07-31</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <value></value>
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                <transactionShares>
                    <value>1562</value>
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                <transactionPricePerShare>
                    <footnoteId id="F8"/>
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            <exerciseDate>
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            <expirationDate>
                <value>2023-04-21</value>
            </expirationDate>
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                    <value>Common Stock</value>
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                    <value>1562</value>
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                    <value>1562</value>
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    <footnotes>
        <footnote id="F1">Received in connection with the Issuer's merger (the &quot;Merger&quot;) with Serve Robotics Inc. (&quot;Legacy Serve&quot;) in accordance with the terms of the Agreement and Plan of Merger and Reorganization dated as of July 31, 2023 (the &quot;Merger Agreement&quot;), by and among the Issuer (f/k/a Patricia Acquisition Corp.), Serve Acquisition Corp. and Legacy Serve. Pursuant to the terms of the Merger Agreement, each outstanding share of Legacy Serve capital stock was entitled to receive 0.80350 shares of Common Stock. The Merger closed on July 31, 2023 (the &quot;Merger Closing Date&quot;).</footnote>
        <footnote id="F2">Received in connection with the Merger with Legacy Serve in accordance with the terms of the Securities Purchase Agreement, dated April 21, 2023 (the &quot;SPA&quot;). Pursuant to the terms of the SPA, the outstanding principal amount of each Legacy Serve 10% Senior Subordinated Secured Convertible Notes converted by their terms into shares of Common Stock at a conversion price of $3.20 per share.</footnote>
        <footnote id="F3">Represents shares of Common Stock acquired by the Reporting Person immediately following the Merger in a private placement pursuant to a Subscription Agreement dated as of July 31, 2023. The issuance of the shares to the Reporting Person was approved by the Company's board of directors in the manner contemplated by Rule 16b-3 under the Securities Exchange Act of 1934, as amended.</footnote>
        <footnote id="F4">The stock option will vest in full on the one-month anniversary of the Merger Closing Date.</footnote>
        <footnote id="F5">Received in connection with the Merger in exchange for options to acquire 56,232 shares of Legacy Serve common stock for $0.76 per share.</footnote>
        <footnote id="F6">The stock option vested as to 1/48 of the total number of shares on June 1, 2023, and an additional 1/48 of the total number of shares will vest on each monthly anniversary thereafter, until such time as the stock option is 100% vested, subject to the continuing employment of the Reporting Person on each vesting date.</footnote>
        <footnote id="F7">Received in connection with the Merger in exchange for options to acquire 24,112 shares of Legacy Serve common stock for $0.76 per share.</footnote>
        <footnote id="F8">Immediately exercisable. Received in connection with the Merger with Legacy Serve in accordance with the terms of SPA. Pursuant to the terms of the
SPA, the outstanding principal amount of each Legacy Serve 10% Senior Subordinated Secured Convertible Notes converted by their terms into warrants to purchase 50% of shares of Common Stock converted at a conversion price of $3.20 per share.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Ali Kashani</signatureName>
        <signatureDate>2023-08-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
