Jason Puncheon banished the memories of his horror miss from the penalty spot last week against Tottenham by scoring the goal which lifts the Eagles off the bottom of the Premier League table and up to 16th place.
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"Puncheon is a good player and people miss penalties. He has to get over it and there were no problems."
Stoke fans littered the ground with banners of adulation for their former manager, and Pulis acknowledged the kind messages but was keen to focus on the fortunes of his new side.
"It was a wonderful reception from the Stoke supporters and I thank them very much," he added. "We had a wonderful 10 years together.
"But the main thing was the three points and I hope and pray to be able to go back to Stoke with Palace next season."
Meanwhile, Mark Hughes bemoaned his side's lack of quality, especially in attack, and is keen to make amends ahead of important games against Chelsea, Manchester United and relegation rivals Sunderland.
"We huffed and puffed a bit and tried to force the issue but made it difficult for ourselves by conceding a poor goal and that's been the case of late and it's something we need work on," he said.
"[The first goal] was going to be key to winning the game and Palace were able to get that. We need to nip that in the bud. We didn't have the guile or purpose to create the chances."