Tulsa Zoo. However, some people claim to see a crocodile on the Lexington and Saluda county side. Related Article: Do Alligators Live in Swamps? The animal was euthanized because it was a threat to the public and trapping it wasnt an option. Lake areas surrounding Hickory Top WMA. Alligator What zoos in Oklahoma have alligators? WebIn Oklahoma, alligators can be found in Red Slough Wildlife Management Area and the Little River National Wildlife Refuge. Alligator There are also many lakes in Oklahoma. /*-->