does 2001 mercury marquis have a coolant fan module
Yes, or at least they do on later years. The fan's operation is controlled by the PCM, the fan module is there to condition the power to the fan assembly (prevents hard starts and such). Although this video is for a Crown Vic, both cars are very similar: https://www.youtube.com/watch?v=9GDviB8OkJg (video title: radiator fan module troublehooting and replacement).
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