The Eagles more than held their own against title-chasing City and went close to scoring themselves on a couple of occasions only to be denied by Joe Hart.
Pulis could not find fault with his players for putting in another hard-working performance just 48 hours after their 1-0 win over Aston Villa on Boxing Day.
"I think Joe Hart made a couple of great saves today and you know when you come to places like here you are going to come under pressure and we looked dangerous on the break," Pulis told Sky Sports.
"Joe Hart had a cut eye, but he certainly saw Wardy's [Joel Ward] shot and Wardy should score from the corner if I am truthfully honest - he should hit the target.
"I am pleased [with the performance], we've had two away games and we went to Aston Villa, who were desperate for the points, and then follow it up and come to Manchester City, and put in a performance like that, I can't criticise the players."
Cameron Jerome was forced off with a knee injury in the first half and Pulis admits they are waiting to find out the full extent of the striker's injury.
"He is struggling a little bit," added Pulis.
"We have got some big games coming up and we will see how he is in the next couple of days."