Dab at the mark lightly with a soft cloth or a paper towel. Remove as much of the mark as possible by dabbing at it until it starts to come off.
Brush lightly back and forth across the area with the wet mark. This will help the stain come to the surface where you can more easily remove it.
Soak a soft cloth or sponge with rubbing alcohol or ammonia. Dab at the wet mark with the cloth or sponge to remove the mark.
Use a commercial microfiber cleaner to remove the stain if the other techniques do not work. You can find these cleaners at furniture stores, department stores and discount retailers.