OU's Baker Mayfield landed on the list along with OSU quarterback Mason Rudolph, Texas quarterback Shane Buechele and Kansas State quarterback Jesse Ertz.
Bentley was recently named to the Maxwell Award Watch List, which goes to the nation's outstanding player.
The Unitas Award, which also considers "character, citizenship, integrity, leadership and sportsmanship" in addition to on-field performance, will be presented at a banquet in Baltimore on December 8.
Francois was previously named to the Maxwell Award watch list and hopes to join FSU greats Charlie Ward, Chris Weinke and Jameis Winston among Davey O'Brien Award winners.
Hurts became the first freshman to start at quarterback under Nick Saban when he took control of the Crimson Tide offense in the second game of the 2016 season and finished 13-1 as the Tide's starter.
Mangum, a junior from Eagle, Idaho, started against Wyoming in the 2016 Poinsettia Bowl and led BYU to a 24-21 victory, throwing for one touchdown and rushing for another. Previous year saw Clemson Tigers signal caller Deshaun Watson be the fourth quarterback to win this award twice. He has already thrown for 6,385 yards and 59 touchdowns in his two years at Washington. From that list, the Foundation and the Selection Committee will announce the three finalists on Monday, Nov. 20. That list will then be whittled down to three names and 2017 Davey O'Brien Award victor will be announced live Thursday, Dec. 7 on The Home Depot College Football Awards. The award is given annually to the nation's best quarterback.
The award is presented to the nation's best quarterback by the Davey O'Brien Foundation. Fan voting, which accounts for five percent of the total balloting, will begin on Tuesday, Sept. 5.