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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-05-27</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0000353569</issuerCik>
        <issuerName>QUIDEL CORP /DE/</issuerName>
        <issuerTradingSymbol>QDEL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001333458</rptOwnerCik>
            <rptOwnerName>Bujarski Robert Joseph</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>9975 SUMMERS RIDGE ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92121</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Operating Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
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            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
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            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
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                <transactionCode>D</transactionCode>
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                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
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                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
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                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
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                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
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                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
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            </securityTitle>
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            </conversionOrExercisePrice>
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            </transactionDate>
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                <transactionPricePerShare>
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                </transactionPricePerShare>
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            </transactionAmounts>
            <exerciseDate>
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            <expirationDate>
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            </expirationDate>
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                </underlyingSecurityShares>
            </underlyingSecurity>
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        </derivativeTransaction>
        <derivativeTransaction>
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            </conversionOrExercisePrice>
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            </transactionDate>
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                </underlyingSecurityTitle>
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            </underlyingSecurity>
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    </derivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to the Business Combination Agreement, dated as of December 22, 2021 (the &quot;Business Combination Agreement&quot;) by and among Quidel Corporation (&quot;Quidel&quot;), Ortho Clinical Diagnostics Holdings plc, QuidelOrtho Corporation (&quot;QuidelOrtho&quot;), Orca Holdco, Inc., Laguna Merger Sub, Inc. and Orca Holdco 2, Inc., each share of common stock of Quidel beneficially owned by the Reporting Person at the effective time of the transaction contemplated by the Business Combination Agreement will be exchanged for one share of common stock of QuidelOrtho.</footnote>
        <footnote id="F2">Pursuant to the Business Combination Agreement, the Quidel Non-Qualified Stock Options will be converted into an equal number of Non-Qualified Stock Options to purchase shares of common stock of QuidelOrtho on the same terms and conditions (including applicable vesting conditions).</footnote>
        <footnote id="F3">Vested in full.</footnote>
        <footnote id="F4">5,435 shares are vested in full; 1,811 shares will vest on February 4, 2023.</footnote>
        <footnote id="F5">3,321 shares are vested in full; the remaining 3,320 shares will vest in equal installments on February 3, 2023 and February 3, 2024.</footnote>
        <footnote id="F6">1,467 shares will vest on September 14, 2022; the remaining 1,468 shares will vest in equal installments on September 14, 2023 and September 14, 2024.</footnote>
        <footnote id="F7">878 shares are vested in full; 878 shares will vest on February 1, 2023; the remaining 1,758 shares will vest in equal installments on February 1, 2024 and February 1, 2025.</footnote>
        <footnote id="F8">12,876 shares will vest in equal installments on January 31, 2023, January 31, 2024, January 31, 2025 and January 31, 2026.</footnote>
        <footnote id="F9">Each restricted stock unit represents the right to receive one share of Quidel common stock.</footnote>
        <footnote id="F10">Pursuant to the Business Combination Agreement, the Quidel restricted stock units will be converted into an equal number of restricted stock units representing the right to receive shares of common stock of QuidelOrtho on the same terms and conditions (including applicable vesting conditions).</footnote>
        <footnote id="F11">3,623 shares will vest on February 4, 2023.</footnote>
        <footnote id="F12">Release of restricted stock units was deferred pursuant to Quidel's deferred compensation program applicable to participating employees and will occur according to the elected deferral schedule.</footnote>
        <footnote id="F13">1,033 shares will vest on November 18, 2022.</footnote>
        <footnote id="F14">3,320 shares will vest in equal installments on February 3, 2023 and February 3, 2024.</footnote>
        <footnote id="F15">313 shares will vest on September 14, 2022; the remaining 628 shares will vest in equal installments on September 14, 2023 and September 14, 2024.</footnote>
        <footnote id="F16">2,637 shares will vest in equal installments on February 1, 2023, February 1, 2024 and February 1, 2025.</footnote>
        <footnote id="F17">389 shares will vest on October 15, 2022; the remaining 1,170 shares will vest in equal installments on October 15, 2023, October 15, 2024 and October 15, 2025.</footnote>
        <footnote id="F18">3,219 shares will vest on each of January 31, 2023 and January 31, 2024; 3,220 shares will vest on each of January 31, 2025 and January 31, 2026.</footnote>
        <footnote id="F19">6,772 shares will vest on January 31, 2024; 3,386 shares will vest on January 31, 2025; and 3,387 shares will vest on January 31, 2026.</footnote>
        <footnote id="F20">357 shares will vest on January 31, 2023.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Phillip S. Askim, attorney-in-fact for Robert J. Bujarski</signatureName>
        <signatureDate>2022-06-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
