United hold a slight advantage following a 1-1 draw in the first leg of their last-16 tie at the Bernabeu.
Madrid have improved considerably in the following fortnight to record back-to-back victories over bitter rivals Barcelona.
Ozil believes that Madrid can use their clinical performance at Camp Nou last week as a blueprint to topple United at Old Trafford.
He told Marca: "It will be a tough game against a very good team, but we showed in the first leg of what we are capable. We were clearly better in the first half, with plenty of chances.
"We have great respect for Manchester, but our goal is to play as we can and we can beat anyone. We still have big goals and this season can be a great success.
"Whoever can win in Barcelona can win in Manchester."
Jose Mourinho's side must score against United to have any chance of keeping their Champions League campaign alive.