You may have opened up a can of worms. If someone rents the house, but refuses to vacate on or near closing you may be stuck with pursuing an eviction. This can take time and money, not to mention the potential the tenant may damage the home.
I donâ€™t blame the seller for trying to earn something out of this, they are trying to make the best of a bad situation.
If you have lender approval and a clear closing date in two months, reconsider what you may be willing to pay for rent. The difference between what you want to pay and the other tenant may be small compared to the cost of eviction.
Secondly, unless you're given written proof, you really don't know whether or not the sellers lender has OK'd that the property be rented, and you don't want any red flags being thrown up which could stop the sellers lender from completing the Short Sale. It's just too risky for too many reasons.
When the house is sold, any leases come with it unless the seller can negotiate with the renter for them to get out.
The short sale and the bank have no bearing.