make sure you don't use an abrasive cloth. Nonabrasive cloths work best because they won't dull the surface. If you start to notice what looks like scratches on your quartz countertop, it's actually metal.
Another method is to use acountertop paint kitthat hides everything such as scratches and burns. These universal painting kits work amazingly well and is the perfect alternative to replacing all of your countertops because of just one small burn mark. Counter Top Paint Kit Can Hide Burn Marks ...
Sanding stone and faux stone requires a more delicate procedure. Use 180-grit or finer wet/dry sandpaper and sand by hand, not with a pad sander. It helps to lubricate the countertop with water to reduce the risk of scratches. It's rare for a hot object to burn a hole in stone, but...