Answer
The warm outside coils of an air conditioner serve to expel heat to the outdoors, and are warmer than the outside air. Neither condensation nor vaporization takes place *on* the coils, though the gaseous refrigerant *inside* the coils is condensing and turning back to liquid.
In another part of the air conditioner, hot room air flows over the cold evaporator coils, and condensation does take place on *those* coils. The water collects into a drain pan and is allowed to drip outside.
