In West Virginia, there are certain exotic pets that are legal to own. Some of the exotic pets that are allowed in the state include certain reptiles like pythons, boas, and monitor lizards. Other exotic pets that are allowed include sugar gliders, hedgehogs, and certain species of non-native birds.However, it is important to note that there are also restrictions on owning exotic pets in West Virginia. For example, it is illegal to own big cats like lions, tigers, and leopards.