Measure the area of the hole with a tape measure. Using a utility knife, cut a square piece of drywall 2 inches larger than the area of the hole. Use a straight edge or speed square to ensure the sides of the patch are square.
Center the square patch piece of drywall over the hole and trace the patch onto the wall with a pencil.
Bend a metal clothes hanger and insert it into the hole. Rotate the clothes hanger slowly to determine if there are any wires or pipes behind the drywall you are repairing. If there are wires or pipes behind the area, cut the drywall out with a utility knife instead of a drywall saw.
Position the end of the drywall saw on one corner of the tracing, and push the saw through the drywall with the heel of your hand. Cut along the trace line with the drywall saw. Remove the piece of damaged drywall from the wall. If obstructions are behind the patch area, cut the trace line with the utility knife.