The Frenchman reacted badly after his side’s late defeat at Craven Cottage, with defender Johan Djourou sent-off 12 minutes from time for a second-bookable offence.
Martin Jol’s men went on to come from behind and secure victory, with goals from Steve Sidwell and Bobby Zamora coming after the Swiss defender's dismissal, prompting the Gunners boss to criticise the officials in the aftermath of the result.
"The referee influenced the game in completely the wrong way, in my opinion," Wenger told Sky Sports after the game.
However, the FA have decided that they will not take any action over the comments.
An FA spokesman said: "We have looked at the statements made and I can confirm we won't be taking the matter further."
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