David de Gea 8 - The Spanish shot stopper was in great form tonight, pulling off a key double save in the first half and showing solid handling throughout.
Rafael 8 - Ideal display after struggling against Liverpool on Sunday, Rafael was key in getting up and down the right hand side, often popping up in key attacking positions for United.
Rio Ferdinand 7 - Ferdinand's age is starting to show in the United back line, and he looked slow at times, but fortunately Olympiacos didn't look to get in behind too often, and Ferdinand managed to have a decent game.
Phil Jones 7 - Again, there were a couple of scares in the United defence tonight, but Jones was solid in the air barely put a foot wrong throughout.
Patrice Evra 7 - Evra got forward well but his distribution at times was disappointing, and much like Ferdinand, his age showed at times as he was occasionally beaten by pace.
Michael Carrick 7 - Carrick played in his usual role, protecting the back four and keeping things simple to set the attacking players away down the other end of the field, but wasn't quite as influential as usual.
Ryan Giggs 8 - 40-year-old Giggs turned back the clock to turn in an outstanding display. Energetic until the final whistle, Giggs was up and down the pitch and his outstanding long passing set up the first two goals.
Antonio Valencia 7 - Valencia admirably played through the pain barrier having sustained an eye injury early on, and continued to work hard down the right hand side throughout.
Danny Welbeck 8 - with too many static players against Liverpool, the injection of pace and athleticism from Welbeck was key to United's success tonight. His direct, rangy playing style stretched the Olympiacos defence in a vital role.
Wayne Rooney 8 - Rooney was full of purpose throughout the night, taking on defenders and beating them with ease. His biggest contribution though was the cross for Robin van Persie's second goal, as his inch perfect delivery sent United into half time 2-0 up.
Robin van Persie 9 - A penalty, a near post finish and a free kick - three goals that van Persie has scored so many times in his career and will continue to. Despite reports about the Dutchman being unhappy, United needed a talisman tonight and got one as van Persie hit his first ever Champions League hat-trick.
Ashley Young 6 - Young was introduced for Valencia with around 15 minutes to play, but was immediately pressed into defensive action as Olympiacos looked for a late goal.
Darren Fletcher 6 - Fletcher came on for Welbeck in a bid to shore up the midfield, and whilst the Scot only touched the ball twice, he had something of a calming influence.
Marouane Fellaini 7 - This may seem high for someone who was introduced in added time, but Fellaini's presence was invaluable as an emergency striker. He held the ball up well and earned priceless free kicks as United closed the game out.