If you have a furry friend, then check out the 22 Texas State, TXST apartments on this list. Many places only allow a specific type of pet so there still might be some restrictions like the breed, weight, etc. Other places might not officially allow pets but still allow hamster or fish and also of course service animals. Additionally, some apartments are actually condos owned by a lot of different people. For these cases, the pet policy vary depending on owner.