The Frenchman was speaking after the 3-2 FA Cup win over Manchester City and claimed that many had written the Old Trafford club off too hastily.
The Red Devils were 3-0 up at half-time in the third round and Evra felt the win was a testament to his side’s character.
“Manchester United will never die. A lot of people forget that, they don't want to respect the story [of the club],” he said.
“But when you have the story behind this club, you know that when there's a difficult moment you'll answer back, because everyone in this team has a big character, a big personality.
“If we hadn't shown that we would have lost this game. But we know we're strong.
“The manager told us it was a big game and that we had to go out and show what Manchester United is all about - and that's what we showed.”
The fixture concerned was marred by controversy over the red card shown to City captain Vincent Kompany early in the game.
Despite being one man and three goals down, Roberto Mancini’s side put in an admirable performance in the second half and came close to levelling the game.
Ferguson was critical of his players after the game for their shoeing in the second period and Evra agreed, but he was ultimately happy with securing the victory.
“The manager wasn't happy with the second half and he's right because we didn't kill the game by scoring more goals and they scored two,” conceded Evra.
“But, in the end, there's a lot of satisfaction because many people before the game were saying that Manchester United wouldn't win.”