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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-09-21</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001810739</issuerCik>
        <issuerName>Radius Global Infrastructure, Inc.</issuerName>
        <issuerTradingSymbol>RADI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001209364</rptOwnerCik>
            <rptOwnerName>BUSH ANTOINETTE COOK</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RADIUS GLOBAL INFRASTRUCTURE, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3 BALA PLAZA EAST, SUITE 502</rptOwnerStreet2>
            <rptOwnerCity>BALA CYNWYD</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2023-09-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>50266</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>15.00</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On 09/21/2023 (the &quot;Effective Time&quot;), pursuant to the Agreement and Plan of Merger, dated as of March 1, 2023 (as amended or otherwise modified from time to time, the &quot;Merger Agreement&quot;), by and among Radius Global Infrastructure, Inc., a Delaware corporation (the &quot;Company&quot;), APW OpCo LLC, a Delaware limited liability company (&quot;OpCo&quot;), Chord Parent, Inc., a Delaware corporation (&quot;Parent&quot;), Chord Merger Sub I, Inc., a Delaware corporation and a wholly owned subsidiary of Parent (&quot;Merger Sub I&quot;), and Chord Merger Sub II, LLC, a Delaware limited liability company and a wholly owned subsidiary of Merger Sub I (&quot;Merger Sub II&quot;), Merger Sub II merged with and into OpCo and Merger Sub I merged with and into the Company. Pursuant to the Merger Agreement, each share of the Company's Class A Common Stock was converted into the right to receive $15.00 per share in cash (the &quot;Merger Consideration&quot;).</footnote>
        <footnote id="F2">Includes 10,000 restricted shares of Class A Common Stock. Pursuant to the Merger Agreement, at the Effective Time, each outstanding restricted share of Class A Common Stock became fully vested and was canceled and converted into the right to receive a cash payment, without interest, equal to the Merger Consideration.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Andrew Rosenstein, as Attorney in Fact</signatureName>
        <signatureDate>2023-09-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
