Crouch struck his first goal since arriving from Tottenham last month.
Shawcross said: "Our overall performance was fantastic and the big man's popped up with a goal and we brought him here to do that.
"He's a great player."
But he refused to accept the absence of prolific United striker Wayne Rooney meant the Potters had an easier time against the league leaders.
"Obviously he's in great form but they've still got some great players out there and it's a great point for us." Shawcross added.