The Raiders star was ejected in the second quarter of his team's 31-30 victory against the Kansas City Chiefs.
Lynch was later spotted in the seats with the fans following his dismissal from the game. KRON 4 reported Lynch was sitting with his family.
The running back left the game on the Bay Area commuter train. He was riding it with Peters, the man who led to his ejection. Fans on the train were chanting expletives at Peters, while Lynch laughed.
Lynch had two carries for nine yards in the victory. He was suspended without pay for one game on Friday.
"NFL Vice President of Football Operations JON RUNYAN issued the suspension for a violation of Rule 12, Section 3, which states that "There shall be no unsportsmanlike conduct. This applies to any act which is contrary to the generally understood principles of sportsmanship," the NFL said in a news release.
"Lynch also specifically violated Rule 12, Section 3, Article 1 (g) which prohibits 'unnecessary physical contact with a game official.'"
"In his letter to Lynch, Runyan wrote:
"You made deliberate physical contact with one of our game officials as he was diffusing an active confrontation between players. You were disqualified for your inappropriate and unsportsmanlike actions. Your conduct included pushing the game official and grabbing his jersey...You were not directly involved in the active confrontation that the game official was attempting to diffuse, nor were you a participant in the play that initiated the confrontation. You were the only player from either team who ran from the sideline to midfield to insert himself into a situation in which he was not directly involved."
Lynch is eligible to return to the Raiders' active roster on Monday, Oct. 30. The Raiders face the Buffalo Bills on Oct. 29. Lynch has already decided to appeal the suspension. The appeal will be heard early next week, according to NFL Network.