Normal wash cycle with cold or warm water. Best to let it air dry flat on a rack or on a sturdy clothes hanger. You can dry it in the dryer, but like most clothes they will always last longer if air dried. If you are going to machine dry it, dry on air dry to lower temp.

If the jacket feels like it shrunk up a bit and you have a jacket made from cotton duck material, you can iron it. This will press out the wrinkles from the wash. If you have a ready-to-wear jacket, be sure of fiber content before ironing it. If it's polyester, be careful not to burn it.