Oscar was booked for diving but Ivanovic escaped without a yellow card, much to the annoyance of Pulis.
He told BBC Sport: "The FA should pull people up for diving and give them a three-game ban straight away.
"Ivanovic would be looking at three games, Chelsea wouldn't be too happy with him and I don't think he would be diving around any more.
"We just don't think it's right and we encourage the players to be as honest as they can."
Chelsea won the game against Stoke by a single goal scored by Ashley Cole five minutes from time.