Jofish, I am having trouble understanding what you mean by your post "so does this mean you dont leave them in". It is helpful if you use correct spelling and English as a lot of people here don't speak English as a first language.
Anyway, I think you are asking if you can leave an air stone in the tank? Yes this is fine, you can leave them in there, but make sure it is not creating a lot of current as axolotls don't like too much current. Air stones can help agitate the water and prevent films building up so they are handy to have (but not a requirement).