Last night's 3-2 defeat at home to Croatia eliminated England from next year's tournament, but Crouch told Sky Sports News: "I know the players have enjoyed working with him.
Crouch felt England fought well in the second half but fell only just short.
The Liverpool forward added: "We had the worst possible start, going 2-0 down but credit to the boys.
"It was a good second-half performance, to get back to 2-2 against a team like Croatia was fantastic but it wasn't enough in the end."
On his goal, he said: "I was very pleased with it. David (Beckham) found me with a pinpoint ball.
"I was pleased with the goal and at that point it looked great for us. I was pleased to get it but it fell apart."