My parents own several homes in Florida....The problem that comes along with this is that the owner can "evict" a tennant for any reason given 30 days notice. Possible foreclosure is a notice. The owner does however have to write up a formal eviction notice. And he also has the responsibility to do so. i dont think there is anything they can do about moving. Unless the bank is willing to sell directly to the current tenant. Which they probably wont do, due to the fact that the house would go up for auction and the bank would get more money that way. However they may be able to get the owner to sell the home, via the bank, to the tenant.