Sure, a property owner could ban alcohol, smoking, pets, pools, trampolines, candles, non-working cars, and so on.

Newton Newbie was negotiating to purchase a property from Lady Elderly, who was selling her home of 40 years where she had raised her family, nursed her husband through illness, and was now living alone but with 6 pets.

In all my leases I add a $25 per dog or cat pet-rent on top of a non-refundable pet deposit.

So unless this cat was just going crazy and taking all the fibers up, I'm trying to imagine how it damaged it.Finally, since you allow pets, I highly recommend you rid of carpet in your rentals anyway.

I will say also that I would seriously consider requiring that the tenant have no pets.  

Often I find it's a situational driver why they lease SFR multi vs MFH unit, namely pet's that are not accepted in MFH.

Should mention on just a few we had some pet odor before installing.

I have been in my house for 3 years and my berber looks brand new, and I have a pet.

I withheld a portion of the tenant's security deposit in part for pet-related carpet cleaning and deep carpet cleaning, which were arguably necessary.

One of the first thing that happens amongst irresponsible, unprepared people is they dump their pets.