When property is sold, the new owner buys the property subject to all rental agreements, written or oral, already in place. Although the relationship with the first landlord is terminated, the rental agreement does not terminate. The original landlord owes the tenant the return of his/her security deposit if it does not transfer with the property because the relationship between the original property owner and the tenant has terminated.
ORC 5321.16(B) also states that:
The tenant shall provide the
landlord written notice of the address to which the security
deposit is to be sent. If the landlord does not return the
security deposit within 30 days, or the tenant disagrees with the
amount returned, the tenant may sue for twice the amount
wrongfully withheld.