"I want to apologize one more time for accidentally tossing my helmet in the stands," Jacobs said. "It was something that happened because I was frustrated with the game, and I had no business tossing my helmet in the first place, and I am thankful that nobody was hurt."
"I have not demanded a trade and have no plans to demand a trade," Jacobs said. "The only demand I am making right now is of myself, to be the best player I can be and to help this team win."
Coughlin said Monday that Jacobs hadn't asked for a trade or requested a meeting to define his role.
Jacobs lost his starting job to Ahmad Bradshaw earlier this season and has just 52 yards on 16 carries. Jacobs rushed for more than 1,000 yards during 2007 and '08, and he added 835 yards last season, when he was bothered by a knee injury.
The Associated Press contributed to this report.