I would consider the central air unit a fixture to the home and therefore the property of the lien holder. I would strongly caution you to speak to an attorney if this is something that you might be considering. You could be opening yourself up to additional liability from the foreclosing lien holder.
You can take everything that is personal belongings. You CANNOT remove light fixtures, AC Units, Plumbing fixtures, electrical ceiling fans, etc. If you do remove items that are "fixtures" you can be liable to the mortgage holder / foreclosure lender.
Best be cautious and check with your attorney.
Best of luck,
Broker / Owner & Certified HAFA Specialist
Thom Colby Properties
Newport Beach, CA
Moving Lives Forward (TM)
We NEVER DOUBLE-END a Transaction in our Brokerage. It is never beneficial to the Seller or to the Buyer and it is only beneficial to the Agent.
888-391-5245 Direct Cell
Kind of like the smart attorney who bought a box of expensive rare cigars and insured them. He then smoked them and claimed that they had been destroyed in a fire. Insurance company paid the claim.
And then charged him with arson :>)
Seriously it is best to work with the bank they may just decide not to come after you for the deficiency many aren't because they know it is a waist of time.
If it's not your house, you can't take anything! :)
You might want to give us a clarification on what you are thinking of taking. Otherwise this is kind of subjective.