Wright-Baker started the Hoosiers' first four games this past season, and Kiel started the next two. They gave way to freshman Tre Roberson, who started Indiana's final five contests.
Kiel is the older brother of heralded quarterback recruit Gunner Kiel, who decommitted from Indiana in October after pledging to join his brother in late July.
Dusty Kiel passed for 427 yards with three touchdowns and one interception in 2011. Wright-Baker passed for 1,029 yards with four touchdowns and four interceptions.
Kiel and Wright-Baker each have two years of eligibility left. It was uncertain if and to where they were planning to transfer.
Roberson will enter spring practice as Indiana's projected starter. The Hoosiers also recently secured a verbal commitment from junior college quarterback Cameron Coffman.
Adam Rittenberg covers Big Ten football for ESPN.com. He can be reached at email@example.com.