The Eagles kept the Gunners relatively quiet in the first half at the Emirates Stadium before Alex Oxlade-Chamberlain netted twice in the second half to send the north Londoners back to the top of the table.
"We've been to Man City, Chelsea and Tottenham, and I didn't think we created as many chances today as we did in those games," Pulis told Sky Sports.
"The first goal was a poor, poor goal. Two players have been caught with their body positions in poor positions and they get a runner off the back.
"Once they get the first goal, you're up against it but having said that, a couple of minutes later we've had our best chance and if Cammy (Jerome) scores then, it might have been a different game."
He added: "We talked about the first 10 minutes of the second half and making sure we were nice and solid on that basis.
"But they're a good side and they've got good players. They will have moments in games all the time and they'll usually score goals if they get the chances."
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