"I had everything packed up, my flight was supposed to be this morning, then they called me and said to just hang out," Shuck said.
Shuck led off and played left field on Saturday -- the fourth leadoff hitter in as many days for the Angels -- and went 1-for-4 with a walk.
Roth, meanwhile, made a sparkling Major League debut, throwing two shutout innings with four strikeouts to earn the win in relief.
"It's a good feeling to see a youngster take the ball for the first time and get out there," manager Mike Scioscia said. "His makeup is off the charts. He got out there, competed and earned his first win."
Roth made one appearance for Double-A Arkansas this season, a start on Tuesday in which he pitched five shutout innings.
William Boor is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.