Sorry to hear about the scratch! I've got a few, and every time I walk up to the vehicle, my eyes are drawn to them.
Removing by hand: Tough depending on the scratch. If you have our Swirl & Haze Remover, or Meguiar's Scratch-X, using a MF applicator pad, rub along, then against the scratch. Follow with a mild polish, like our Revive, or a paint cleaner-polish by a competitor. Continue to do the process following one product after the other, maybe six or seven times. You shouldn't hurt the finish, and the scratch will likely start to fade away. Call me in the garage while you are doing it if you want real time advice!