"I made a huge error... It happens, it happens... I must learn from my mistakes," Ibrahimovic said after the incident.
The volatile 30-year-old - who has scored 15 times this season and lies second in the Serie A scorers list - received the ban for slapping Napoli player Salvatore Aronica in the face during Sunday's 0-0 draw, for which he was red carded.
AC Milan said they will appeal the ruling by the Italian League's Disciplinary
Commission. However, Ibrahimovic accepted that he had slipped-up.
"There is no need of video images to prove what I did, I made a mistake.
"But I have confidence in the team, it will be just as good without me."
'Ibra' has a chequered disciplinary record in Italy - last season he was sent off two matches in a row while seven years ago when he was playing for Juventus he missed a title-deciding match with Milan because he was serving a suspension.
He was suspended after headbutting Inter Milan's combative Serbian Sinisa
Mihajlovic and then hit the latter's Inter team-mate Ivan Cordoba.