I never rest my hand anywhere unless I have to palm mute, then obviously I rest them on the string :)

I use my right hand pinky as an anchor on the guitar just below the high e string. That gives me control without having to rest my arm/hand anywhere. It also helps my mute the high e when I want to.

Some can't play using an anchor, it just feel natural to me. You just let it go when you want to strum.