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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-12-09</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001591890</issuerCik>
        <issuerName>FG Financial Group, Inc.</issuerName>
        <issuerTradingSymbol>FGF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001878780</rptOwnerCik>
            <rptOwnerName>Fundamental Global GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>108 GATEWAY BLVD., SUITE 204</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MOORESVILLE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28117</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000002186</rptOwnerCik>
            <rptOwnerName>BK Technologies Corp</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>7100 TECHNOLOGY DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WEST MELBOURNE</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>32904</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001619991</rptOwnerCik>
            <rptOwnerName>Cerminara Kyle</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FUNDAMENTAL GLOBAL GP, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>108 GATEWAY BOULEVARD, SUITE 204</rptOwnerStreet2>
            <rptOwnerCity>MOORESVILLE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28117</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001187586</rptOwnerCik>
            <rptOwnerName>MOGLIA JOSEPH H</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FUNDAMENTAL GLOBAL GP, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>108 GATEWAY BOULEVARD, SUITE 204</rptOwnerStreet2>
            <rptOwnerCity>MOORESVILLE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28117</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000946454</rptOwnerCik>
            <rptOwnerName>BALLANTYNE STRONG, INC.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4201 CONGRESS STREET SUITE 175</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28209</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>8.00% Cumulative Preferred Stock, Series A, $25.00 par value</value>
            </securityTitle>
            <transactionDate>
                <value>2021-12-09</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>385</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>24.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8973</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>FUNDAMENTAL GLOBAL PARTNERS MASTER FUND, LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>COMMON STOCK, PAR VALUE $0.01 PER SHARE</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1638409</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>BALLANTYNE STRONG, INC.</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>COMMON STOCK, PAR VALUE $0.01 PER SHARE</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>788199</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>FUNDAMENTAL ACTIVIST FUND I, LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>COMMON STOCK, PAR VALUE $0.01 PER SHARE</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>628875</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>FUNDAMENTAL GLOBAL PARTNERS MASTER FUND, LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>COMMON STOCK, PAR VALUE $0.01 PER SHARE</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>477282</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>FGI 1347 HOLDINGS, LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>CALL OPTION (RIGHT TO BUY)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>6.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2020-04-16</value>
            </exerciseDate>
            <expirationDate>
                <value>2022-04-16</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>COMMON STOCK</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>50000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>50000</value>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>FUNDAMENTAL GLOBAL PARTNERS MASTER FUND, LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>CALL OPTION (RIGHT TO BUY)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>6.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2020-04-16</value>
            </exerciseDate>
            <expirationDate>
                <value>2022-04-16</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>COMMON STOCK</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>50000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>50000</value>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>FUNDAMENTAL ACTIVIST FUND I, LP</value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Reporting Persons beneficially own in the aggregate 3,632,765 shares of Common Stock (including 100,000 shares that may be acquired pursuant to a call option), which represent approximately 55.9% of the Company's outstanding shares of Common Stock. Fundamental Global GP, LLC may be deemed to be a beneficial owner of the shares of Common Stock that are directly owned by Fundamental Global Partners Master Fund, LP (&quot;FGPM&quot;), Fundamental Activist Fund I, LP (&quot;FAFI&quot;), FGI 1347 Holdings, LP (&quot;FGIH&quot;) and Ballantyne Strong, Inc. (&quot;BTN&quot;). Mr. Cerminara holds 15,592 shares of Common Stock and restricted stock units representing the right to receive 16,557 shares of Common Stock upon vesting.</footnote>
        <footnote id="F2">BK Technologies Corporation (&quot;BKTI&quot;) is the sole limited partner of FGIH. Mr. Cerminara is Member of the Board of Directors of BKTI.</footnote>
        <footnote id="F3">The Reporting Persons beneficially own in the aggregate 8,973 shares of Preferred Stock. Fundamental Global GP, LLC may be deemed to be a beneficial owner of the shares of Preferred Stock that are directly owned by FGPM. In addition, Mr. Cerminara owns 44 shares of Preferred Stock in a joint account with his spouse.</footnote>
        <footnote id="F4">Due to their positions with Fundamental Global GP, LLC and affiliated entities, Messrs. Cerminara and Joseph H. Moglia may be deemed to be beneficial owners of the shares of Common Stock disclosed as directly owned by FGPM, FAFI and FGIH and the shares of Preferred Stock disclosed as directly owned by FGPM. Due to his positions with BTN, Fundamental Global GP, LLC and affiliated entities, Mr. Cerminara may be deemed to be a beneficial owner of the shares of Common Stock disclosed as directly owned by BTN. Each Reporting Person disclaims beneficial ownership of the shares referred to herein except to the extent of his or its pecuniary interest therein.</footnote>
        <footnote id="F5">Represents a call option to purchase shares of Common Stock, for a purchase price of $6.00 per share. The shares subject to the call option may be acquired at any time during the two-year period beginning on April 16, 2020, ending at 5:00 p.m. Eastern time on April 16, 2022.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>FUNDAMENTAL GLOBAL GP, LLC /S/ D. KYLE CERMINARA, CHIEF EXECUTIVE OFFICER</signatureName>
        <signatureDate>2021-12-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BALLANTYNE STRONG, INC. /S/ MARK D. ROBERSON, CHIEF EXECUTIVE OFFICER</signatureName>
        <signatureDate>2021-12-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BK TECHNOLOGIES CORPORATION /S/ WILLIAM P. KELLY, EXECUTIVE VICE PRESIDENT AND CHIEF FINANCIAL OFFICER</signatureName>
        <signatureDate>2021-12-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/S/ D. KYLE CERMINARA</signatureName>
        <signatureDate>2021-12-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/S/ JOSEPH H. MOGLIA</signatureName>
        <signatureDate>2021-12-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
