However, Pulis's men held on for the a draw that saw them go one point above Sunderland.
"It was chalk and cheese. Two halves; one for us and one for them, so I suppose a draw is a fair result," Pulis told Sky Sports News
"I thought we played really well in the first half and if anything I was disappointed not to come in more than 1-0 up. But fair play to West Ham, when they get the early goal it's a fantastic place and stadium to play at.
"Give us credit first half, but I thought West Ham were very good second half. They pinned us back and our lads had to defend for their lives."
Stoke host Fulham at the Britannia Stadium on Saturday.