A hat trick from Robin van Persie sent David Moyes's side through to the last eight of the Champions League and the England striker was again full or praise for the supporters.
The Red Devils fought back from a two-goal first-leg deficit to beat the Greek champions 3-0 at Old Trafford, with a hat trick from Robin van Persie sending United through to the last eight.
Rooney played a vital role in the victory that has helped ease the pressure on manager David Moyes and the England international believes that the Premier League champion owed its manager a performance.
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When asked what was the key to victory, Rooney added: "Just desire to win. The fans were fantastic against Liverpool and again tonight they were brilliant and they deserve this. It was a big result, a big performance and we're delighted for them."
United now joins Barcelona, Atletico Madrid, Paris Saint-Germain, Chelsea, Real Madrid, Dortmund and Bayern Munich in the draw for the quarterfinals, which takes place on March 21, with the first legs to be played on April 1 and 2.