Zippered fleece jackets for women are so popular because of their versatility. A fleece is perfect for running to the store, dropping the kids at school, or a casual date night. They are usually made from polyester that is easy to wash, doesn’t fade and wears well. Wear your fleece over a tee shirt or sports bra for running. Team it with a soft shell jacket for cooler weather. Pair your fleece with shorts or a skirt.