Crouch says Carragher could play anywhere on the pitch following the defender's success down the right on Saturday.
Carra set up the big man's opening goal against Sunderland with a pinpoint cross from the right flank.
It came after Rafa Benitez asked his vice-captain to fill in at full-back for the day.
"He was quick to mention the cross in the dressing room after!" Crouch told liverpoolfc.tv.
"But no, he's a top-class player who could play in any position. You could see he has great delivery when he gets down the right and I've got to thank him."