You might not be able to see that the lacquer has been compromised, but if you sight down the damaged area, you'll see that the damaged area has a dull look, or a slight depression where the acetone dissolved the lacquer. If you've finished using the stain marker and are happy with the results, move on to the lacquer repair. Most modern wood products are finished with lacquer, but if you can't tell what the finish is made from, it's OK to use lacquer to repair it with. Place masking tape around the damaged area if it's a spot less than about 1/2-inch in diameter. If it's bigger than that, don't use the tape. Spray the damaged area with a light coat of aerosol lacquer from a can. When the lacquer dries, sand it lightly with steel wool and spray it again. If you can still see a slight depression, spray it two or three more times.
Burnishing is a technique used to blend and flatten lacquers or almost any type of clear finish. Once you've used the stain marker and applied lacquer to the damaged area, fold a piece of denim into a small square. Use it like sandpaper to sand over the sprayed area. Use it with authority, rubbing the denim over the area with enough force to heat the surface of the lacquer by friction. Continue on in this manner until the lacquer blends together, hiding any areas where the fresh lacquer meets the older finish. If the damage is on the arm of a chair, burnish the whole arm. If the repaired area is on a tabletop, burnish the tabletop completely, but focus on the damaged area, using lighter pressure around the perimeter of the damage until the repaired area cannot be seen.