Sorry I didn't realize that you were looking for a pet friendly apartment, should have read the title of your post again.
I live in fredericton, orginally from Saint john. when I moved here 3 years ago. I could not find an apartment that would allow me to have dogs. I lived in three different apartments in two years hopeing to find one that would allow me to have a dog. None would change their rules. Anyway I had to buy a house in order to get my dog to come to fredericton with me. I hope the rules of the apartment owners have changed, but I doubt it. Some may allow you to have small quiet ones. Good luck