Spurs booked their place in the last 16 with an 3-0 win over Werder Bremen on Wednesday.
Crouch told Sky Sports: “It’s a great achievement, we want to give a good account of ourselves in the next round.
“It was a great team performance throughout the Champions League campaign: we have played very well and deserve to go through.
“Every big club wants to be in the Champions League playing against the best teams in the world.
“We want to get as far as we can for the fans and for us as well.”
