Gather drywall patch, joint compound, putty knife, sandpaper, utility knife, drywall tape, primer, and paint
Clean the hole and remove loose debris
Cut away any ragged edges around the hole
Cut a drywall patch to fit the hole
Secure the patch with drywall tape, backing support, or a repair clip if needed
Apply joint compound over the patch and edges
Feather the compound outward with a putty knife
Let the compound dry completely
Sand the dried compound smooth
Apply a second coat of joint compound if needed
Sand again after drying
Prime the repaired area
Paint to match the surrounding wall