skate on

skate on something

to skate on a particular surface. You can't skate on that ice! It's too thin. Don't skate on the ice until it has been scraped smooth.
See also: on, skate
References in classic literature ?
For the weather steadily hardened and sharpened; that night the ice of the lake, glimmering in the moonlight, was like a marble floor, and they had begun to dance and skate on it before it was dark.
they fit nicely," and, sitting on the new sled, Rose tried a skate on her little bare foot, while Phebe stood by admiring the pretty tableau.