A/C interior lights not working properly

So when the engine is turned on the A/C button is on? Is the compressor on as well? Are you able to turn it off?

Sounds like we have a control module issue or one of the relays is stuck on.

If the light doesn't go out, then we may need a scan tool to see what the inputs to the control head are telling it. Have you been able to check for codes?

If you don't have a scan tool then most parts stores can pull codes for you free of charge.