That being said, the most common (and *still unsafe*) method involves disconnecting the compressor clutch. Do not attempt this if you're not comfortable working on automotive AC systems; refrigerant under pressure is extremely dangerous.
Here's what it generally entails, with HUGE disclaimers:
* Safety First: Wear safety glasses and gloves. The system may contain refrigerant under high pressure. Never attempt to release refrigerant yourself; it must be done by a qualified technician.
* Locate the Compressor Clutch: This is the electromagnetic clutch that engages and disengages the compressor. It's usually a circular component on the front of the compressor. You'll see two wires connected to it.
* Disconnect the Clutch: Carefully disconnect the two wires leading to the compressor clutch. This will prevent the compressor from engaging.
Again, this is a temporary measure for diagnostic purposes only. If your AC is not working, the problem could be far more complex than just the compressor. It might be a failed compressor, a leak in the system, a problem with the refrigerant, a bad pressure switch, a malfunctioning condenser, or a problem with the AC controls.
What you should do instead:
1. Take it to a qualified mechanic: This is the safest and most effective approach. A mechanic can properly diagnose the problem and repair it, including safely handling the refrigerant.
2. If you are determined to troubleshoot: You could start by checking the AC fuse and relay. These are easier to access and replace than the compressor clutch.
Bypassing the compressor is a shortcut that can lead to more significant problems. It's much better to invest in professional diagnosis and repair to ensure your vehicle's AC system operates safely and efficiently.