"It's a privilege and an honor to be a part of this national championship team," Miller said, according to The Plain Dealer in Cleveland. "Guess what? We've got another year to do it."
Miller's remarks come amid speculation over whether he will return to the Buckeyes next season.
He missed the entire season after tearing his labrum in August. With Miller sidelined, backup J.T. Barrett led Ohio State to a 10-1 record and emerged as a Heisman Trophy candidate before suffering an ankle fracture in the regular season finale against Michigan.
Third-string signal-caller Cardale Jones took over for Barrett and helped the Buckeyes beat Wisconsin in the Big Ten championship game, Alabama in the College Football Playoff semifinals and Oregon in the national championship game.
On Saturday, Ohio State coach Urban Meyer said that he's been talking with Miller and that "It's a unique situation, which we'll cover that later." ESPN reported earlier this month that Miller was undecided on whether he would return next season.
An Ohio State spokesman confirmed to the Columbus Dispatch that Miller is enrolled at Ohio State for spring semester classes. If Miller were to leave for another program, he would be eligible to play immediately as a graduate transfer.
The Buckeyes beat the Ducks, 42-20, in the title game on Jan. 12.