Steve Clarke launched into a scathing rant on referee Facundo Tello over the denied Scotland penalty appeals against Hungary.
It appeared Scotland should have been awarded a spot-kick in the second half when Stuart Armstrong was felled in the box by Willie Orban.
Replays of the incident showed clear contact on Armstrong but referee Tello waved away protests.
A VAR check was carried out but the referee was not ordered to review the call on the pitchside monitor.
The decision left Clarke baffled with the national team boss questioning why the Argentinian official was in charge of the match as he demanded an explanation for the decision.
On BBC Scotland, Clarke fumed: "The moment in the game is the penalty. It is 100 per cent a penalty.
"Somebody has to explain to me why that is not a penalty because otherwise, I'm thinking there is something wrong."
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Asked whether he had held any conversation with the referee over the denied penalty appeal, he added: "What is the point? He is from Argentina. What is the point? Why is it not a European referee?
"I don't understand why he is here and not in his own country refereeing the game.
"I don't understand the VAR can look at that and say it is not a penalty, just my opinion."
Reacting to elimination from the tournament, Clarke said: "A tough night for us, tough night. We couldn't do what we wanted to do.
"We all suffer together, we are sad together. We are as sad as the supporters are because at the end of the day we are all supporters, we want to do well for our country.
"Unfortunately, it wasn't our night."
Further, Clarke added: "The first thing to say is I hope the lad who is injured is okay because it looked pretty bad."
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