Bath Mat With No Suction Cups Can I Use ANY Kind Of Bath Mat In A Reglazed Tub?

Can I use ANY kind of bath mat in a reglazed tub? - bath mat with no suction cups

Did just that. I did not know that may damage after using a bath mat with suction cups to the surface. Grandma is in a week that are using the tub. Is there a kind of bath mat that can be used in a tank of whack?