Shaun Wright-Phillips made it 2-0 to England fourteen minutes into the second half.
Crouch scored his second and England's third goal 15 minutes from the end of normal time.
England had already qualified for next years finals prior to this game at Wembley.
"It is good to finish the qualifying campaign on a winning note at Wembley and take that into the World Cup," Crouch said after the 3-0 win.
"For me personally I was pleased to get a couple of goals.
"Have I given the manager a bit of food for thought? Yes. All I can do when given an opportunity is to try to take it and the goals help and hopefully my performance has given him something to think about.
"People keep asking me that question and I seem to always be saying that. I am pleased with the way it went.
"But we have got some fantastic competition for places, certainly in the striking area, and all I can do is to score goals and hopefully get a chance.
"We've got guys out injured at the moment and it would be nice to play a couple more games but it is back to the club now and I shall be concentrating on things at Tottenham.
"We've had a fantastic record in the qualifying group and hopefully we can take that through to the World Cup now."