Exotic Pets Owning a pet fox is legal in every U.S. state. Myth Fact None Axolotls can regenerate lost limbs, making them a unique exotic pet. Myth Fact None Sugar gliders are rodents related to squirrels. Myth Fact None It’s safe to keep a pet capybara if you have a small backyard. Myth Fact None Ball pythons are one of the most popular reptile pets due to their calm nature. Myth Fact None Time's up Most Popular Most Popular