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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-11-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000101830</issuerCik>
        <issuerName>SPRINT Corp</issuerName>
        <issuerTradingSymbol>S</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001065521</rptOwnerCik>
            <rptOwnerName>SOFTBANK GROUP CORP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1-9-1, HIGASHI-SHIMBASHI</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MINATO-KU TOKYO</rptOwnerCity>
            <rptOwnerState>M0</rptOwnerState>
            <rptOwnerZipCode>105-7303</rptOwnerZipCode>
            <rptOwnerStateDescription>JAPAN</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001583143</rptOwnerCik>
            <rptOwnerName>Galaxy Investment Holdings, Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE CIRCLE STAR WAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN CARLOS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94070</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001560156</rptOwnerCik>
            <rptOwnerName>Starburst I, Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE CIRCLE STAR WAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN CARLOS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94070</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-11-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>315958</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>7.74</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3310392649</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On March 17, 2014, Galaxy Investment Holdings, Inc. (&quot;Galaxy&quot;), a U.S. wholly owned subsidiary of SoftBank Group Corp. (&quot;SoftBank&quot;) granted to Ronald D. Fisher an award of restricted stock units (the &quot;RSUs&quot;) for 2,846,508 shares of the common stock of Sprint Corporation, par value $0.01 per share (&quot;Sprint Common Stock&quot;), owned by Galaxy. The RSUs vest in four equal installments beginning on November 15, 2015, subject to the terms of the RSU award agreement. RSUs in respect of 711,627 shares vested on November 15, 2016, of which 315,958 were settled in cash and 395,669 were settled in shares of Sprint Common Stock. Such cash was withheld to satisfy tax withholding obligations. The amount reported in column 4 represents shares of Sprint Common Stock deemed reacquired by Galaxy from Mr. Fisher in respect of the RSUs settled in cash.</footnote>
        <footnote id="F2">Such figure reflects 233,867,126 shares of Sprint Common Stock (the &quot;Galaxy Shares&quot;) that are owned indirectly by SoftBank through Galaxy and 3,076,525,523 shares of Sprint Common Stock (the &quot;Starburst I Shares&quot;) that are owned indirectly by SoftBank through Starburst I, Inc. (&quot;Starburst I&quot;), which is a U.S. wholly owned subsidiary of SoftBank. As a result of such ownership, SoftBank may be deemed to beneficially own the Galaxy Shares and the Starburst I Shares. Starburst I expressly disclaims beneficial ownership with respect to the Galaxy Shares and Galaxy expressly disclaims beneficial ownership with respect to the Starburst I Shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Ronald D. Fisher, as attorney-in-fact for SoftBank Group Corp.</signatureName>
        <signatureDate>2016-11-17</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Ronald D. Fisher, as President of Galaxy Investment Holdings, Inc.</signatureName>
        <signatureDate>2016-11-17</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Ronald D. Fisher, as President of Starburst I, Inc.</signatureName>
        <signatureDate>2016-11-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
