1: this is VERY common, here where i am its almost impossible to rent with pets...
2: PLEASE do not think just because you dont agree with this rule its "ok" to sneak a pet in...if your landlord doesnt allow pets they plain and simple dont allow pets, try offering a pet deposit, or something but if the landlord says no pets, thats how it goes.
ive seen way too many puppies in shelters and on craigslist with listings like
"i got this puppy its realy cute but my landlord wont let me keep it"
the poor animal has to suffer because they thought they could get round the rules...
3: if you realy want a pet, find an apartment that allows pets.
unfortunatly it gets harder and harder every day to rent with pets due to people leaving messes, untrained dogs and people not respecting a landlords wishes.
our last landlord when i was living with my ex, i provided letters of reference, vaccination recors, training certificates ect, personal references about how good my dogs were, it still took forever to find a place that would allow the dogs, and once we found a place that would consider, alot of work on my part to prove it was the right decision...
even so out roomates had to pay and extra $50 a month as a cat deposit incase they tear the carpet up...