The fan on my GN has never ran once after shut down, never even knew it was supposed to until my friends was running one day when he shut the engine off....then got my TTA, and it would run everytime for a minute or two....then one day the TTA fan wouldn't cut off after shutdown....and the GN started having a battery drain...the culprit on both accounts was the fan relay....I just unplugged the relay and never had a problem again with battery drain or fan not cutting off.
The relay on the Gn is right on the driver fender, forget the color of wires though and my GN is in the tranny shop or I'd go look so just pull the plug out of the relay and don't worry about the problems that can be caused, what good does running the fan for a minute do except cool off the water in the radiator, doesn't circulate the coolant into the motor so what good is it really doing.
On the TTA the relay is on the passenger side of the radiator.