Carroll was glad with the whole team's performance and his goal, which came with 13 minutes left from a pin-point delivery by Mark Noble.
"It was a great ball in, he put it in where I wanted it and I've just made a little movement, lost my marker and I put it in," he said.
"Their keeper (Gerhard Tremmel) was on fire. He saved one from me, one from [Ricardo] Vaz Te, and a couple from Kevin [Nolan].
"He kept them in it. We pounded the goal and we were unlucky not to be ahead by half time. But I've put a chance away and we've got the three points, so I'm delighted."