POWER OF ATTORNEY
                      FOR SEC FILINGS ON FORMS ID, 3, 4, 5 AND 144
                              IN RESPECT OF SECURITIES OF
                               GALECTIN THERAPEUTICS INC.

    The undersigned hereby constitutes and appoints each of Jack W. Callicutt,
Joel Lewis, Robert Tritt and Wing Shing Lee as her true and lawful attorney-in-
fact and agent, with full power of substitution and resubstitution for him in
his name and stead in any and all capacities, to sign and file for and on her
behalf, in respect of any acquisition, disposition or other change in ownership
of any Common Stock or derivative securities thereof of Galectin Therapeutics
Inc. (the "Company"), the following:

    (i)     any Form ID to be filed with the Securities and Exchange Commission
            (the "SEC");

    (ii)    any Initial Statement of Beneficial Ownership of Securities on Form
            3 to be filed with the SEC;

    (iii)   any Statement of Changes of Beneficial Ownership of Securities on
            Form 4 to be filed with the SEC;

    (iv)    any Annual Statement of Beneficial Ownership of Securities on Form 5
            to be filed with the SEC;

    (v)     any Notice of Proposed Sale of Securities on Form 144 to be filed
            with the SEC; and

    (vi)    any and all agreements, certificates, receipts, or other documents
            in connection therewith. The undersigned hereby gives full power and
            authority to the attorney-in-fact to seek and obtain as the
            undersigned's representative and on the undersigned's behalf,
            information on transactions in the Company's securities from any
            third party, including brokers, employee benefit plan administrators
            and trustees, and the undersigned hereby authorizes any such person
            to release such information to the undersigned and approves and
            ratifies any such release of information. The undersigned hereby
            grants unto such attorney-in-fact and agent full power and authority
            to do and perform each and every act and thing requisite and
            necessary in connection with such matters and hereby ratifies and
            confirms all that any such attorney-in-fact and agent or substitute
            may do or cause to be done by virtue hereof. The undersigned
            acknowledges that:


         (i)  neither the Company nor such attorney-in-fact assumes (i) any
              liability for the undersigned's responsibility to comply with the
              requirement of the Securities Exchange Act of 1934, as amended
              (the "Exchange Act"), (ii) any liability of the undersigned for
              any failure to comply with such requirements or (iii) any
              obligation or liability of the undersigned for profit disgorgement
              under Section 16(b) of the Exchange Act; and

         (ii) this Power of Attorney does not relieve the undersigned from
              responsibility for compliance with the undersigned's obligations
              under the Exchange Act, including without limitation the reporting
              requirements under Section 16 of the Exchange Act. This Power of
              Attorney shall remain in full force and effect until revoked by
              the undersigned in a signed writing delivered to such attorney-in-
              fact.


         IN WITNESS WHEREOF, the undersigned has executed this Power of
         Attorney.


Date:  March 26, 2021    /s/ Elissa J. Schwartz
                        -----------------------------------------------
                         Elissa J. Schwartz