The president apologized to the club and its fans after their mission during the loss of AC Milan to Juventus.
Milan ahead Gonzalo Higuain apologized for his red card against Juventus but insisted he did not offend anyone.
Higuain suffered a miserable defeat against his mother's club having a penalty rescued before being sent to Milan's 2-0 loss in San Siro on Sunday.
The current 41-minute forward of the team was saved by Wojciech Szczesny before being sent late for disagreement.
While apologetically, Higuain, 30, said his feelings just got the best after a tough game.
"It seemed an unfair foul, I was worn out for myself. I was warned, but I offend anyone," he told Milan TV.
"I apologized for the club, the fans, the coach and my comrades because these episodes have to be avoided.
"We are people, we feel emotions, the game did not go right and it was one of those days."
Cristiano Ronaldo, the former Higuain teammate in Real Madrid, spoke in defense of the federal state, saying he hopes that Argentina will not deliver a big ban on the incident.
Higuain had the opportunity to reach Milan level after Mario Mandzukic opened, but his sentence was saved before Cristiano Ronaldo sealed Juve's victory in the second half.
The Argentine took responsibility for his grace and vowed not to make the same mistake again.
"It was a special episode, I had noted, the game would have changed," said Higuain.
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"It is important to take responsibility, to know what happened and I promise it will not happen again.
"Now we have to look ahead, we will have two weeks of rest and then we will face Lazio for fourth place."