By FOX Sports staff
The reigning Barclays Premier League champions were handed a kind route to the Round of 16 after being drawn alongside Shakhtar Donetsk, Bayer Leverkusen and Real Sociedad in the group stage.
However, United have enjoyed the best of times recently following the retirement of Sir Alex Ferguson and the appointment of David Moyes as the club's new manager, with some fans already disillusioned by their lack of activity and intent shown in the recent transfer window.
But Vidic believes the current squad, like in every other season, is still good enough to be crowned champions of Europe.
"We think we can go to the later stages and with a bit of luck, yeah, we can win the tournament," he told Sport Magazine.
"I've been here eight years; I've played three finals, one semi-final, two quarter-finals - and that means that sure, United [are] always in the last stages of the Champions League.
"Hopefully we can do that again this year. With luck against [Real] Madrid last year, maybe we would have been in the quarter-finals - and who knows what would have happened then."
Vidic also believes Chelsea's triumph in 2012, when they beat Bayern Munich on penalties after a gritty 1-1 draw in the final, was a good example of how upsets can often happen in Europe's premier club competition.
"You know two years ago, Chelsea won - did you believe Chelsea were going to win that title?" the Serbian centre-back added.
"Barcelona won everything [in] the last three years, but last year Bayern Munich came [and won it].
"It's not something where you can say that someone will win the title [for certain]."
Vidic was part of the United side that lifted the European Cup in the 2007/08 season, but was also featured in two losing finals against Barcelona in 2009 and 2011.