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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2022-10-03</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001895262</issuerCik>
        <issuerName>Noble Corp plc</issuerName>
        <issuerTradingSymbol>NE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001946006</rptOwnerCik>
            <rptOwnerName>HEMMINGSEN CLAUS</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>13135 DAIRY ASHFORD, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SUGAR LAND</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77478</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>A Ordinary Shares</value>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8752</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Units</value>
                <footnoteId id="F3"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>A Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2230</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to the business combination agreement, dated November 10, 2021 (as amended, the &quot;BCA&quot;), by and among Noble Corporation, an exempted company incorporated in the Cayman Islands with limited liability (&quot;Noble Cayman&quot;), Noble Corporation plc, a public limited company formed under the laws of England and Wales (the &quot;Company&quot;), Noble Newco Sub Limited (&quot;Merger Sub&quot;), and The Drilling Company of 1972 A/S, a Danish public limited liability company (&quot;Maersk Drilling&quot;), among other things, (i) Noble Cayman merged with and into Merger Sub (the &quot;Merger&quot;), with Merger Sub surviving the Merger as a wholly owned subsidiary of the Company and each ordinary share of Noble Cayman was converted into A ordinary shares, par value $0.00001 per share, of the Company (the &quot;Company Shares&quot;) and (ii) the Company completed a voluntary tender exchange offer to Maersk Drilling (the &quot;Offer&quot; and, together with the Merger and the other transactions under the BCA, the &quot;Business Combination&quot;).</footnote>
        <footnote id="F2">On October 3, 2022, each share of Maersk Drilling tendered in the Offer that was outstanding immediately prior to the consummation of the Offer was exchanged for a Company Share at an exchange ratio of 1 for 1.6137, with any fractional shares rounded to the nearest whole share. This report reflects the beneficial ownership of the reporting person upon consummation of the Offer.</footnote>
        <footnote id="F3">Each restricted stock unit represents a contingent right to receive one Company Share. The restricted stock units granted on October 3, 2022 will vest on October 3, 2023.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ William E. Turcotte, as attorney-in-fact</signatureName>
        <signatureDate>2022-10-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
