Bowman elected free agency Monday, Matt Weyrich of The Baltimore Sun reports.
Bowman will start Saturday's game against the Twins, Jake Rill of MLB.com reports.
Bowman (1-0) pitched 1.2 perfect innings to earn the win over the Dodgers on Tuesday. He did not record a strikeout or walk.
The Orioles selected Bowman's contract from Triple-A Norfolk on Thursday.
The Orioles signed Bowman to a minor-league contract Thursday, Jon Heyman of the New York Post reports.
The Twins released Bowman on Monday, Bobby Nightengale of the Minneapolis Star Tribune reports.
Bowman signed a minor-league contract with the Twins and was assigned to Triple-A St. Paul on Thursday, Aaron Gleeman of The Athletic reports.
Bowman opted out of his contract and was granted his release Monday, Jon Heyman of the New York Post reports.
Bowman signed a minor-league contract with the Mariners on Sunday.
Bowman cleared waivers and elected free agency Friday.