United win Community Shield
Vidic suggested there will be far more important tests to come this season, but he feels United showed they are ready to win silverware.
"It's important to me," he told Sky Sports. "This is the last game before the season and I think we did well today. Obviously a few players didn't play a lot in pre-season and they had the chance today to build up their fitness and they did well.
"I believe there will be more (trophies). This is just the beginning. I think we have a good squad and we showed we have the energy and we showed some hunger as well and this is very important to be the champions."
Vidic also said United's players had been desperate to see Berbatov open his account for the season.
"It's important for him to score the goal," he said. "He has a lot of pressure. I hope he will score more goals, but we tried to help him to keep going - to do what he did today."
Paul Scholes was named man of the match and he added: "It was a good game and we're happy with the win. It's more of a pre-season friendly but it's a trophy, we've managed to win it and we're more than happy to do that.
"It's always good to beat Chelsea. They are a quality side who beat us three times last year. That's disappointing but we've got off to the right start this year.
"We weren't that far off last year - just one point in the league. With more determination this year hopefully we can go one step further."
Asked if he was expecting a phone call from England manager Fabio Capello, with a view to revisiting his decision to end international career, Scholes said: "I don't think so, no."