Selling A House Without Central Air . The decision to add air conditioning should depend on whether buyers expect it to be part of. I too was told that refinancing with not be possible without central heat. Bryant vs Amana an air conditioner comparison guide QualitySmith from www.qualitysmith.com Fill out the permit as completely as you can. Then it flows back to the central air. That price can increase, though, if you need several indoor units or wish to buy a unit with a high seer rating.