Exhibit 24

                                   POWER OF ATTORNEY

        With respect to holdings of and transactions in securities issued by
AerSale Corp. (the "Company"), the undersigned hereby constitutes and appoints
the individuals named on Schedule A attached hereto and as may be amended from
time to time, or any of them signing singly, with full power of substitution and
resubstitution, to act as the undersigned's true and lawful attorney-in-fact to:

        1.  prepare, execute in the undersigned's name and on the
            undersigned's behalf, and submit to the United States Securities and
            Exchange Commission (the "SEC") a Form ID, including amendments
            thereto, and any other documents necessary or appropriate to obtain
            and/or regenerate codes and passwords enabling the undersigned to
            make electronic filings with the SEC of reports required by Section
            16(a) of the Securities Exchange Act of 1934, as amended, or any
            rule or regulation of the SEC;

        2.  execute for and on behalf of the undersigned, Forms 3, 4, and 5 in
            accordance with Section 16 of the Securities Exchange Act of 1934,
            as amended, and the rules thereunder;

        3.  do and perform any and all acts for and on behalf of the
            undersigned which may be necessary or desirable to complete and
            execute any such Form 3, 4, or 5, complete and execute any amendment
            or amendments thereto, and timely file such form with the SEC and
            any stock exchange or similar authority; and

        4.  take any other action of any type whatsoever in connection with the
            foregoing which, in the opinion of such attorney-in-fact, may be of
            benefit to, 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 and resubstitution or revocation, hereby ratifying and confirming
all that such attorney-in-fact, or such attorneys-in-fact 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 Securities Exchange Act of 1934, as amended.

        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 an employee of
the Company.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of December 23, 2020.

                                 Richard J. Townsend

                                 Signature: /s/ Richard J. Townsend
                                            ----------------------------------
                                 Print Name:    Richard J. Townsend
                                 Print Title:   Director


                                      Schedule A

        Individuals Appointed as Attorney-in-Fact with Full Power of
Substitution and Resubstitution

1.  Martin Garmendia
2.  Nicolas Finazzo