If you don't want to remove it, you could also tape off the area and try scuffing it with fine sandpaper, or steel wool. Perhaps just a satin finish would do the trick. If that doesn't do it, spray paint it whatever color you want.
Otherwise, visit your Chevy parts department and ask to see the parts diagram for the dash. It may illustrate how it is held on. If there are no depicted clips, or fasteners, it's held on with adhesive. It may just be part of a larger assembly and the parts diagram may be of no help, but it's free to check it out.