Ronaldo last won the Ballon D'Or player of the year award in 2008, with La Liga rival Lionel Messi picking up the accolade.
The Portuguese star told ESPN: "I want justice. If there is justice, you see who is going to win and who deserves to win. I'm not going to say any more.
"I'm not going to lie to you. I want to win and I hope that Jose Mourinho wins too because he's shown he is the best coach in the world. Just justice. I don't ask for anything more."
The 27-year-old has had a mixed 2012, playing a prominent role for Madrid as they won La Liga but suffering penalty heartbreak in both the Champions League and European Championships.