"I still believe in myself," Brissett told reporters Friday, including Mike Chappell of Fox 59. "I know I'm a starter in this league. I know I can play at a very high level. I did it last year.
"I know I'll be a starter in this league one day, again, wherever that may be."
Brissett took over the starting role before the beginning of the 2019 season after Andrew Luck's surprise retirement. He posted a 7-8 record while tossing 2,942 yards and 18 touchdowns with six interceptions through 15 games.
The 27-year-old previously filled in for Luck when he missed the entire 2017 campaign with an injury. Indianapolis finished 4-11 with Brissett under center that year.
However, the Colts signed eight-time Pro Bowler Philip Rivers this offseason. The 15-year veteran signal-caller inked a one-year, $25-million contract in Indy.
Brissett, meanwhile, signed a two-year extension last year and will become a free agent after the upcoming campaign. He's set to earn $21.3 million in 2020, according to Over The Cap.