You shouldn't need permission. Input, yes. Permission, no. A flat out demand that you not have a reasonable pet or pets is controlling. Does he have control issues in other areas? Your opinions and wants should be equal to his. A compromise, such as a limited number, is more in order than a ban. Show him these posts. Maybe he will realize how important it is to you to have something to call your own, instead of just having and doing what he wants. Living under somebody's thumb is very unfortunate.
Good luck.
Good luck.