A/C compressor Switches of at the same time as the Fan motor

I'd have to agree with @vini_i here ... that seems completely normal to me. If the radiator fan does not need to be running when the A/C kicks off the fan won't be running at all. It doesn't run unless needed. When the A/C compressor is running there has to be air flow through the condenser in order for the A/C to work inside the vehicle. If the coolant system doesn't need cooled, there's no reason for a fan to be running after that, so it's allowed to shut down. No fan needed: no fan running.