Florida executes a foreclosure through a sheriff's sale and it's quick, if it happens correctly. But most Florida foreclosures are being held up through their judicial foreclosure process more often than any other state. Those here responding are familiar with the California foreclosure process and know that CA foreclosures postpone all the time so there's also no guarantee that it will happen as dictated through the trustee foreclosure process.
Because you mention a final court decision, I'm going to guess that your question is related to Florida. You do not mention if you are in a lease, or month to month rental agreement. Either way, the fact that the home is in foreclosure does not protect you from respecting your rental contract agreement. Keep paying, if you are living in the home and enjoying its benefits. If and when the foreclosure occurs, the new 'owner' will need to respect that you have an active contract. However, I might suggest you see if your current owner might consider reducing your monthly payment because of the anxiety of the situation? Always worth asking.