Australian captain Michael Clarke believed that he had caught an edged shot from Stuart Broad during England's second innings, but Aleem Dar ruled that the bowler was not out after failing to spot the ball hit Broad's bat.
Speaking to Sky Sports News at the close of play, Pietersen said: "Each and every player who plays for their country, their club side, for their franchise or their county has the opportunity to wait for the decision the umpire makes and you respect the umpire's decision.
"We play hard, we play fair and each individual has the responsibility and makes the judgement if he will wait for the umpire's decision.
"Aleem Dar is a fantastic umpire and he has been rated one of the best umpires in world cricket over the last few years, wait and respect his decision."
England finished the day 326-6.