Shooting invasive species is definitely legal in Florida assuming that you have permission of the land owner or are otherwise in a location where shooting is allowed (i.e. not in a municipality that bans the gunfire). It has to be done humanely: if you hit the invasive animal, you are responsible for dispatching it as quickly as possible. If you don't dispatch the animal, you can easily run foul of animal cruelty laws here.

I have been hoping for a health improvement so I can go on a guided python hunt. I have read up on it quite a bit. Not only can I get python leather to make a nice wallet, belt, and a pair of boots, but I can do so while doing a small part to curb an invasive species that is wrecking havoc on the ecosystem in South Florida.