The air that is blown inside your car’s cabin can be cold. The A/C compressor is at the heart of this process. It compresses refrigerant, so the refrigerant can change from a gas to a liquid. When it’s a gas it can absorb heat making the air cold as it blows over it.
The AC compressor can operate well as long as there are no leaks in the system or other problems, like a broken radiator fan. If you get your car service regularly, they should check the AC system. If not, make sure to check it yourself. Damage can occur if the A/C Compressor encounters different issues, like refrigerant leaks.