How to remove light scratches from gloves box door with out ruining the color

Not an interior expert...but depending on the material its made from most likely a plastic material, you may be able to purchace a spray dye to match the interior color. Check at automotive outlets like NAPA for dye. Also there are people that do mobil repairs like that you might find on the net. Some do detailing work for car dealers. Check at used car dealers for who they use for touch up work.