Each TSA lock has a number on the outside (below, TSA 002):
Go to a kindly luggage store with the suitcase and ask them if they can unlock it. Any TSAA key for a suitcase / lock with the same number will unlock it.
Buy a piece of luggage with the same numbered TSA lock and unlock it. Whether you then return the new suitcases is up to your own moral precepts.
Buy a new TSA key off eBay
Find someone with a 3D printer to make a copy of the key for you.
Pick the lock. TSA locks are incredibly easy to pick as they often have only 3-4 pins and the tolerances are incredibly poor.
Note that for #1 and #2, there is a comment below that the keys for the TSA are not the same as the keys for the lock. My response here for #1 and #2 is that I assume you have a keyed suitcase (since if you had a combo, you'd simply use the combo). What you'll find is that TSA locks are so poorly made that some jiggling of a key that's not supposed to open it will in fact do so simply because the manufacturers are too cheap to make mastered locks and their tolerances are terrible.