Spurs made it through to a fifth-round tie at Bolton with a 3-1 win in their replay at Leeds last night.
With only Chelsea of the traditional 'big four' left in the competition, a Wembley final is a realistic target for Harry Redknapp's men.
"We're not stupid," said Crouch.
"We know a lot of the big teams have been knocked out and it's a great chance for someone to do well, get to the final, maybe even win it, so we've got to be there or thereabouts.
"We've got enough quality to go on a good run.
"It's been a while for Tottenham and I think this is probably the best squad of players for a long, long time. We've got a good chance of having a good run. We've all got that belief that we can do well this year."
Source: PA
Source: PA