Purchase a shade of wax-based shoe polish that matches the shade of your leather couch. Wax polish is particularly good for hiding scrapes and scratches.
Dab a clean, lint-free cloth in the polish. Pick up a small amount, roughly the size of a pea. Work the polish into the couch using a gentle, circular motion.
Repeat the process as your cloth dries out. Continue polishing the scratch until it is no longer visible.
Wipe excess polish from the couch with a clean cloth. Let the repaired area dry overnight.
Apply a leather conditioner. Wax polish is good at covering scratches, but it can dry out your leather. Conditioning the leather helps prevent the scratched area from drying out and cracking.