Very gently and slowly scrape a razor blade across the surface of the suede couch directly on top of the burn hole. Remove the black, charred bits from the hole.
Measure the hole's diameter. Cut out a piece of canvas cloth slightly larger than the hole's diameter.
Remove the suede cover from the cushion. Insert the canvas on the inner cushion directly on the area where the hole will rest. Smooth out the canvas. Replace the suede cover on the cushion with the canvas backing in place.
Place a piece of paper over the hole and trace the shape of the hole. Pin this piece of paper to suede fabric that matches the color of the couch and cut out the tracing. You now have a piece of suede that matches the dimensions of the hole.
Apply a thin layer of upholstery glue to the canvas at the bottom of the hole. Line the edges on the bottom of the patch with this glue. Press the patch to the hole and smooth it out.