POWER OF ATTORNEY

        Know all by these presents, that the undersigned hereby constitutes and
appoints each of Josh Seidenfeld, Anitha Anne and Nicole Mondani of Cooley LLP,
and Eric Easom, Lucy Day and Joshua Eizen of AN2 Therapeutics, Inc., signing
individually, the undersigned's true and lawful attorneys-in-fact and agents
to:

        (1)    execute for and on behalf of the undersigned, in the
        undersigned's capacity as an officer, director or beneficial owner of
        more than 10% of a registered class of securities of AN2 THERAPEUTICS,
        INC. (the "Company"), Forms 3, 4 and 5 (including any amendments
        thereto) in accordance with Section 16(a) of the Securities Exchange
        Act of 1934, as amended (the "Exchange Act") and the rules thereunder
        and a Form ID, Uniform Application for Access Codes to File on EDGAR;

        (2)    do and perform any and all acts for and on behalf of the
        undersigned that may be necessary or desirable to execute such Forms 3,
        4 or 5 or Form ID (including any amendments thereto) and timely file
        such forms with the United States Securities and Exchange Commission
        and any stock exchange or similar authority; and

        (3)    take any other action of any nature whatsoever in connection
        with the foregoing which, in the opinion of such attorney-in-fact, may
        be of benefit, in the best interest of, or legally required by, the
        undersigned, it being understood that the documents executed by such
        attorney-in-fact on behalf of the undersigned pursuant to this Power of
        Attorney shall be in such form and shall contain such terms and
        conditions as such attorney-in-fact may approve in such attorney-in-
        fact's discretion.

        The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary or proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorney-in-fact's substitute or substitutes, shall
lawfully do or cause to be done by virtue of this power of attorney and the
rights and powers herein granted. The undersigned acknowledges that the
foregoing attorneys-in-fact, in serving in such capacity at the request of the
undersigned, are not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
earliest to occur of (a) the undersigned is no longer required to file Forms 3,
4 and 5 with respect to the undersigned's holdings of and transactions in
securities issued by the Company, (b) revocation by the undersigned in a signed
writing delivered to the foregoing attorneys-in-fact or (c) as to any attorney-
in-fact individually, until such attorney-in-fact is no longer employed by the
Company or Cooley LLP.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of June 9, 2023.

                                   /s/ Margaret FitzPatrick
                                   -------------------------------
                                   Margaret FitzPatrick