Yes, but I would use "side" after "right" in all three cases,
Student or Learner
I often say: On the right of the room there is a desk or the desk is on the right of the room.
But is it correct to say: On the right of the room is a desk. ?
I would use "right side" or "right-hand side".
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.