5 ways you're destroying your glass stovetop Scrubby sponges. It's fine to use the soft side of your sponge to wipe down your glass cooktop. ... Steel wool. Umm, a big nope on this one. ... Any cleanser while the stove's hot. Always wait until the stove is completely cooled down before cleaning it. ... Heavy pressure. ... Glass cleaner. 23 Sept 2018