Davidson elected free agency Monday, Rich Dubroff of BaltimoreBaseball.com reports.
Davidson was designated for assignment Sunday.
The Orioles selected Davidson's contract from Triple-A Norfolk on Saturday.
Davidson cleared waivers and was outrighted to Triple-A Norfolk on Tuesday, Rich Dubroff of BaltimoreBaseball.com reports.
Davidson agreed to terms with the Orioles on a one-year contract for the 2024 season Wednesday.
Davidson was claimed off waivers by the Orioles on Wednesday.
Davidson is listed as the Royals' probable starting pitcher Monday in Oakland and is expected to work as an opener in front of bulk reliever Alec Marsh.
Davidson (1-2) allowed two runs (one earned) on a hit and a walk while striking out one over one inning to take the extra-inning loss Tuesday versus the Mariners.
The Angels traded Davidson to the Royals on Tuesday in exchange for cash considerations.
Davidson was designated for assignment Thursday, Sarah Valenzuela of the Los Angeles Times reports.