The Serbian centre-back has won four Premier League titles, three League Cups, the Champions League and the Club World Cup with United and is keen to add the FA Cup to that array of silverware.
"My aim before every season is to win a trophy," said Vidic.
"You want to be there for the big games and once the season is finished, and you are going home or on holiday, you want to see what you have won. That is the thing that has always pushed me.
"The cup in Serbia is obviously a trophy but the league has always been seen as the main thing.
"Over the last few years in England the semi-finals and finals have always been interesting because Chelsea, Manchester United, Manchester City and Arsenal have always been there and they are the teams who are always watched.
"People always want to see them, especially when they are fighting for a trophy. It makes them important games."
United take on Chelsea at Stamford Bridge in the quarter-final replay on Monday following the 2-2 draw at Old Trafford on March 10.