The redshirt sophomore has been in the OU program for three seasons, earning one start against Baylor in 2018.
Kendall played backup to Heisman Trophy victor Baker Mayfield during his true freshman year before sitting out a redshirt season.
Throughout his time in Norman, Kendall has completed 28-of-39 passes for 265 yards and three touchdowns. He seemed like the No. 1 candidate to take the job going into 2019.More news: Pompeo discusses USA drawdown in Syria with Turkish counterpart
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Kendall's departure would leave the Sooners with two scholarship quarterbacks: redshirt freshman Tanner Mordecai and true freshman Spencer Rattler, who isn't scheduled to arrive on campus until this summer. Murray won the job and eventually won the Heisman Trophy.
In an intriguing twist, Oklahoma quarterback Austin Kendall has reportedly sought a transfer from the school.
Kendall, who perhaps would have been the favorite to become OU's starting quarterback in 2019, graduated this fall and will be eligible to play immediately should he go through with the transfer. Oklahoma could explore adding a graduate transfer, like Alabama's Jalen Hurts. The San Francisco Chronicle reported on Murray plans to submit his name into the NFL Draft.