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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-12-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001597313</issuerCik>
        <issuerName>ViewRay, Inc.</issuerName>
        <issuerTradingSymbol>VRAY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001355758</rptOwnerCik>
            <rptOwnerName>Castelein Caley</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O VIEWRAY, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>2 THERMO FISHER WAY</rptOwnerStreet2>
            <rptOwnerCity>OAKWOOD VILLAGE</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>44146</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-31</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2521</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>3.82</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>786515</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-01-04</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>8580</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.41</value>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>795095</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>130600</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reported securities are DSUs that entitle the Reporting Person to receive one share of Common Stock per DSU upon the earliest of (i) the Reporting Person's termination of service from the Issuer's board of directors, (ii) a Change of Control of the Issuer as defined in the Issuer's Amended &amp; Restated 2015 Equity Incentive Award Plan or (iii) December 31, 2030 (the tenth anniversary of the grant date). These DSUs vested on the date of grant, December 31, 2020.</footnote>
        <footnote id="F2">These DSUs were issued to the Reporting Person as reimbursement of previously granted DSUs that were cancelled for no consideration as a result of a 30% reduction in director retainer and committee service fees in April 2020, adjusted for changes to committee rosters for the second half of 2020.</footnote>
        <footnote id="F3">The reported securities are DSUs that entitle the Reporting Person to receive one share of Common Stock per DSU upon the earliest of (i) the Reporting Person's termination of service from the Issuer's board of directors, (ii) a Change of Control of the Issuer as defined in the Issuer's Amended &amp; Restated 2015 Equity Incentive Award Plan or (iii) January 4, 2031 (the tenth anniversary of the grant date). 1/12th of these DSUs shall vest on the last day of each calendar month beginning on January 31, 2021 such that 100% of the DSUs will be vested on December 31, 2021, subject to the Reporting Person remaining a service provider through each such vesting date.</footnote>
        <footnote id="F4">These DSUs were issued to the reporting person pursuant to ViewRay Inc.'s Non-Employee Director Compensation Policy in lieu of retainer and committee service fees of $55,000.</footnote>
        <footnote id="F5">Shares held by KVP Capital, L.P., an entity controlled by Mr. Castelein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Robert McCormack, Attorney-in-Fact</signatureName>
        <signatureDate>2021-01-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
