Pull together and sew the tear with matching color thread, if the tear is very small. Sew the torn fabric back together following the fabric pattern. This means following the visible lines and threads in the fabric, as well as the color lines/blocks in the furniture.
Turn the La-Z-Boy furniture piece over or move it to expose the back. Feel under the furniture piece for excess fabric that is concealed and/or sewn to the underside.
Remove the thread with a stitch puller and cut the excess fabric off with scissors. Place the cut excess fabric over the damaged area to match it for size and align to the pattern.
Sew the excess fabric patch to the La-Z-Boy furniture, keeping it aligned with the fabric pattern. Double the stitch to make the patch strong and able to withstand normal use and wear and tear.