The suspension will see the Sweden striker miss AC Milan’s clash with Serie A leaders Juventus.
Zlatan was sent off after he slapped opponent Salvatore Aronica during the game. The incident was spotted by an assistant referee.
AC Milan are likely to appeal the decision.
AC Milan vice president Adriano Galliani told Gazzaetta dello Sport: “I am reading catastrophic opinions on this, but there was no violence.
“Therefore, I believe Ibrahimovic will not receive more than a two-match ban.”