Wow how to get rid of a pet. You can find them in major cities or outside of most inns. Visit any stable master. How do i get pets for my hunter can i get more than one pet and if no to the last question can i get rid of a pet for a different can of pet and lastly do pets level up the same time as the person controlling them. Also if you do want to keep it but wanna get a different pet go to a stable master and put it in there and you will be able to get another.
And if you mean. Assuming you are a hunter the best way to permanently get rid of a pet is to call it so it is running with you and then right click its portrait. Obtaining a pet and taming it is one of the coolest things about being a hunter in world of warcraft. You should put your pet in the stables and tame a different one and if you like another pet better with your pet active you can left click your pets name plate and go down to abandon pet well you can use the ability calleddismiss pet or you can just put him in the stables and go tame.