Stoke provided little threat during the game and Pulis made no excuses for their lacklustre display.
Pulis said: "I've no complaints, they were the better team.
"Someone has just asked me what the difference was - I said about £220million.
"For us to come here we have to bring our 'A' game and City have to be off it.
"That wasn't the case today but you have to sometimes open your eyes and look at the reality of everything. They have got a bit of a head start on clubs like us.
"I don't know whether it was because it was the fourth game in the holiday period and we didn't bring our 'A' game - but I am not going to criticise the players.
"They still worked their socks off, they worked very hard. City were the better team.
"You hold your hands up and dust yourself down. We have got a tough game now at Crystal Palace."