The 36-year-old is likely to face a lengthy ban after the incident on Sunday night, which saw La Viola beaten 2-1 at home after a last-minute goal.
Ciro Immobile scored with a firm header after a cross from Jordan Lukaku, but Fiorentina players were incensed that no free-kick was given their way in the build-up.
The result was a first Serie A defeat in seven games for Fiorentina, who also had Luca Ranieri sent off, and Ribery vented his frustrations after the final whistle.
He was seen on camera in a heated exchange with the assistant and shoved him twice in protest.
Serie A officials have since confirmed that Ribery was shown a red card following the game.
Since joining the club in the summer after departing Bayern Munich, Ribery has excelled in a two-man attack alongside fan favourite Federico Chiesa, who scored Fiorentina’s equaliser in the match – assisted by Ribery. Joaquin Correa had earlier put Lazio ahead.
On Monday, Ribery said via Twitter: “I apologise to my teammates, the coach, the fans. I apologise to (assistant referee) Mr. Passieri.
“I was very upset and sad after the end of the match. I hope he can understand my state of mind.”
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