The £10 million deadline day signing from Spurs headed home his first goal for the club to equalise in the 1-1 draw on Saturday, and was a constant threat throughout the contest at the Britannia Stadium.
However, Pulis is confident that the club can get even more out of the England international forward, who is being tipped to flourish further overt time in the Potteries.
"We're delighted with the way Peter has settled in, but it takes time for a new player to build up a good understanding with his team-mates," Pulis told the official Stoke website post-match.
"You saw some really encouraging signs that it's coming in this game, but I am sure there is a lot more to come from Peter as he gets on the same wavelength with the players around him and they learn to how to get the best out of him.
"That's not been helped by the fact that we've not had a settled side. We have had to chop and change things around to keep players fresh with so many matches. But you saw today that United just couldn't handle him at times.
"Peter has tremendous technique; he holds the ball up so well and brings other people into the game. That was evident in this game. That's why we have paid decent money to bring him here. It's fantastic that he has got off the mark, but I know that we can get more out of him."
The striker himself was understandably delighted to get off the mark against the Red Devils, whose manager Sir Alex Ferguson believes Crouch is a serial fouler.
That didn't bother the player though, and Crouch has vowed to add further to his tally of goals after opening the account.
“To score my first goal for the club against Manchester United was special, and I’m sure it will be the first of many," he said.
“I thought it was a top-class performance and we could have won it in the end - I felt I could have got the winner, but you can’t be too greedy. Rio Ferdinand and Phil Jones are always difficult to play against, but we mixed it up well."