You can wash faux fur by hand delicately with mild soap and cold or lukewarm water.
Hang your item on a plastic hanger. Agitate the water to create soapsuds and brush carefully the garment with brush covered with soapsuds in one direction. Then dry with a soft towel.
Allow garments to air dry if they get wet and store away from direct sunlight. Brush and smooth the faux fur if needed.