Nooo, don't wash them in the washing machine! You will screw them up. You need to spray them with suede/leather protector. Spray them twice, once then let them dry for 30 minutes. Then spray them again. Do this every 6 months and they keep looking great!
If you already got them dirty you might want to try suede brush and "eraser" thingy. I forget the brand but I bought mine at Nordstroms, in the shoe department.
ETA: The Brand is called "Synovia," Suede and Nubuck Cleaning System.
http://shop.nordstrom.com/s/synovia-suede-nubuck-kit/2865094