Moustakas was promoted on Thursday from Triple-A Omaha and was in the starting lineup against the Angels on Friday night, batting sixth behind Billy Butler.
Pucetas, 26, was acquired by the Royals from the Giants last Oct. 14 as the player to be named in the Aug. 13 trade for outfielder Jose Guillen.
Pitching for Omaha this season, Pucetas had a 4-2 record and a 5.07 ERA in 13 games, including 10 starts. In his past two games, he gave up 11 runs in 10 1/3 innings.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.