How to Turn Yourself Around on a Slippery Surface

How do you change your absolute orientation without changing your overall angular momentum kind of? Imagine, for example, you're on ice skates and you're on a super duper slippery surface. If you could like throw a rock, then that'd be great, but you can't do that. Or maybe instead of ice skaters, you can imagine our stranded astronaut out there in space. Like you can't just like grab something and pull yourself to look the other way.