You'll still face an uphill battle.

https://www.copyright.gov/comp3/chap300/ch300-copyrightable-...

313.2 Works That Lack Human Authorship

As discussed in Section 306, the Copyright Act protects “original works of authorship.” 17 U.S.C. § 102(a) (emphasis added). To qualify as a work of “authorship” a work must be created by a human being. See Burrow-Giles Lithographic Co., 111 U.S. at 58. Works that do not satisfy this requirement are not copyrightable.

The U.S. Copyright Office will not register works produced by nature, animals, or plants. Likewise, the Office cannot register a work purportedly created by divine or supernatural beings, although the Office may register a work where the application or the deposit copy(ies) state that the work was inspired by a divine spirit.

    Examples:
    • A photograph taken by a monkey.
    • A mural painted by an elephant.
    ...

Similarly, the Office will not register works produced by a machine or mere mechanical process that operates randomly or automatically without any creative input or intervention from a human author. The crucial question is “whether the ‘work’ is basically one of human authorship, with the computer [or other device] merely being an assisting instrument, or whether the traditional elements of authorship in the work (literary, artistic, or musical expression or elements of selection, arrangement, etc.) were actually conceived and executed not by man but by a machine.” U.S. COPYRIGHT OFFICE, REPORT TO THE LIBRARIAN OF CONGRESS BY THE REGISTER OF COPYRIGHTS 5 (1966).

There was two different arguments:

- whether the monkey has the copyright (PETA's argument): this was smacked down by the court twice, the second court explicitely setting a precedent.

- whether the photograph has coypright: as far as I know he doesn't, as the work was deemed non copyrightable (ruled as not created by a human)

https://en.wikipedia.org/wiki/Monkey_selfie_copyright_disput...