Pair had clashed on the sideline following the Reds' last gasp penalty award at the Emirates, and Sir Trevor Brooking claims spat is entirely different to Wayne Rooney's offence
The two bosses clashed when the Reds were awarded a penalty deep into stoppage time, with the Frenchman believing that his players had been hard done by the decision, and TV cameras caught the Scot swearing at the Gunners manager.
Manchester United forward Wayne Rooney received a two-match ban for his usage of offensive language into a camera lens, leading to accusations of double standards.
But a spokesman for the FA is quoted by The Mirror as saying: "We are quite clear that the context of the Rooney incident was wholly different to the other recent incidents cited."
Meanwhile, the FA's director of football development, Sir Trevor Brooking, hopes that the issue of swearing and subsequent punishments will be clarified after Dalglish was not charged.
"It was totally different [from Rooney]," he said. "The reaction straight into the camera [from Rooney] was the difference.
"I can understand why the incident at the West Ham match led to action being taken, but in this one unless it was exactly like that, which I gather it wasn't, I don't think there is any comparison.
"Wherever I've been since the Manchester United versus West Ham game I don't think I've met anyone who thought it was anything other than the right decision.
"If anyone is still unsure why the action was taken then we should clarify it so that it's consistent. There has to be a clear understanding. Clarification would help us avoid a continued debate."