Latin also doesn't imply "of south or central America" in the way latino/latina/latinx/latiné (which is the other approach that's gender neutral and easier to pronounce that I've seen) do. Latin implies, at least to me central European, old and vaguely Italian, as opposed to Latino.

You could also use "Latin American", which may also work, but historically Latino/a have been preferred, possibly since "Latino" is a lot easier to say than "Latinoamericano".