Potters boss Pulis was fuming with the Blues stars, despite their failure to win penalties in the match and the fact Oscar was booked by referee
Ivanovic, though, escaped a caution after throwing himself down in the box in the first half when he appeared not to be touched.
Pulis also insisted Chelsea should have ended the 1-0 victory with 10 men after
Highlighting what he dubbed 'the simulation', Pulis said: "Ivanovic's one in the first half is laughable and the lad Oscar, who's a fabulous player.
"This is England. We're playing in
"And we can't watch people just fall over and not talk about it. That's the disappointing thing.
"We should highlight it and keep highlighting it and keep highlighting it.
"There are certain players in the Premier League who have got a reputation and referees know that if you touch them then they'll fall down or go down as quickly as they can.
"The people that do it, just keep highlighting it, keep showing it, because it's a part of the game that I don't think we should stomach and we don't talk about enough."
He added: "I think there were four occasions today. The referee did smashing.
"But that's the other point. They put enormous pressure on by falling over.
"It's difficult enough today to referee anyway.
"And for players to be doing that, I don't think it's fair on the referees."
Pulis said of the Luiz lunge: "It's a dreadful challenge and I think David would be the first one to say he's very, very lucky to stay on the pitch - very."
Asked if it would have been a red card had Luiz been a Stoke player, Pulis said: "Now you said that, not me. Make sure the FA know it was you."
Pulis also claimed Stoke striker Peter Crouch felt he should have had a first-half penalty himself.
Chelsea boss Roberto Di Matteo denied Oscar had dived and insisted Oliver was wrong to book him.
He said: "There was contact. Maybe the referee didn't feel there was enough contact.
"He shouldn't have booked him from my point of view.
"After the game, he can watch a replay and it's easy to make that decision."
The European champion has been denied several penalty claims in recent weeks but Di Matteo ruled out making a formal complaint to referees' chief Mike Riley.
Chelsea looked set for a fourth straight match without a win before Ashley Cole spared the blushes of its £130 million ($201.67 million) attack with his first goal since May 2010.
But Di Matteo said: "I thought it was just a question of time before we scored.
"Obviously, when it comes towards the last 20 minutes, time is running out.
"But when you play against Stoke, it's always so hard to break them down and they defend with so many men and they're very well-drilled as well."
Di Matteo admitted it would take time for Eden Hazard, Oscar and Juan Mata to click after handing the £80 million ($124.11 million) trio their first start together.
They failed to get Fernando Torres scoring but Di Matteo said of the £50 million ($77.57 million) man, who flopped again: "He's in a very good mood because he's in a team that's at the top of the league."
Di Matteo revealed Daniel Sturridge could be fit for next weekend's trip to Arsenal, when John Terry and Frank Lampard are also expected to return after starting the game on the bench.
The Italian insisted the pair had been omitted to avoid burnout later in the season, scoffing at suggestions it had anything to do with Roman Abramovich - who watched the game - visiting Chelsea's training ground on Thursday after the club blew a 2-0 lead to draw against Juventus.
"Come on, seriously now? Seriously?" he said, refusing to rule out picking Terry for the midweek Capital One Cup clash with Wolverhampton Wanderers.
That is despite it being understood his captain's Football Association hearing over the Anton Ferdinand saga is set to begin on Monday.
"Let's see what the outcome is first," he said.
Di Matteo also played the wait-and-see game over Cole's contract talks, with the England left-back's current deal due to expire next northern summer.
He said: "My recommendation, of course, to the club is to make him stay here as long as they can.
"They'll find a solution, I'm sure, because both parties are happy to talk."