BMW Repair: AC Fan, 2002 bmw 325i, bmw 325i

Question
I have a 2002 BMW 325I.  The AC fan doesn't stop when the engine is turned off.  Could it be the sensor, sending module or fan? could you help me?

Answer
I assume it still runs when the key is turned to the off position.

Motor unlikely.  no sensor tells the fan to run.  Likely either a short or a bad control module.

Unless you are very good at electronic troubleshooting, it would be worth taking to BMW.  the control modules can be easily diagnosed by BMW systems, but are very difficult without.