The Frenchman was unhappy with how the Bayern attacker reacted to being fouled in the Arsenal area as he won a penalty and helped to inflict a 2-0 defeat on the Gunners
David Alaba missed the subsequent spot kick but, after Bayern went on to dominate the game and scored through Toni Kroos and Thomas Muller, Wenger hit out at what he considered to be theatrics from Robben.
"I think the second-half was boring for neutral people,” Wenger told reporters. "It was one-way traffic. The referee made a decision that killed the game.
"In Italy, they send you off for these kind of fouls. I think our goalkeeper genuinely went for the ball. He touched Robben who made more of it - I told him [Robben] that. He has enough experience to know to make more of it.
"I just feel frustrated. It was a great football game until half-time and there was no game at all after half-time."
Wenger was also critical of Ozil's penalty effort an performance, suggesting Manuel Neuer's save allowed the Bavarians to get their bearings on the game due to the drop in confidence.
"Ozil missed a penalty. I prefer when people run properly at the ball," Wenger added. "It’s his style of play, what can I say? We needed to score that penalty tonight.
“He was affected by it. I think he wanted to do so well tonight, it affected him. You could see he will still shaking his head five to 10 minutes later. It had a huge impact on his performance.
“You’re always concerned about the confidence of your players because that’s your petrol for the team. It gives them the desire to go and play.”