The Dutchman proved to be the match winner, scoring two penalties either side of a fortuitous Theo Walcott effort to help the Gunners overhaul Villa’s 2-0 lead in seven second half minutes.
Richard Dunne and Darren Bent had put the visitors ahead in the first half, but McLeish was left fuming after witnessing what he believed was a deliberate elbow on Cuellar soon after Van Perise scored his second penalty.
"I thought it was a clear elbow, but the referee did not seem to think there was anything in it," said McLeish to reporters post-match.
"Would I like the FA to look at it? Yes, if it was an elbow in the face - look at my nose, it is a result of elbows all my career. It is something which is dangerous.
"I never mentioned it to the referee. I saw it in real time. I don't like to point the finger at players, but it has happened to mine enough times."
The incident occurred in front of referee Mike Jones, who opted to take no action and wave play on.
The FA may choose to take retrospective action, but only if Jones admits he did not see the incident and indicates what course of action he would have taken had he witnessed the event.
While McLeish was left smarting following the Van Persie incident, it would have been his side sacrificing a two goal lead that caused the most pain for the Scot.
"I am very disappointed we did not see it out and it is a missed opportunity,” the former Birmingham boss admitted.
"The fans will be gutted at seeing us let that lead slip away. We have to learn from this and try to obtain that winning mentality."