The Royals, who on Wednesday snapped a 19-inning scoreless streak, scraped together six singles off Hahn, who was impressive in his first Major League start since last August. Hahn struck out seven through six innings.
Royals center fielder Lorenzo Cain singled in a run in the first, and singled and scored in the third.
Oakland's Rajai Davis hit his first home run of the season in the ninth off closer Kelvin Herrera, who picked up his first save.
MOMENTS THAT MATTERED
The LoCain Train: Cain had his hand, and feet, all over the Royals' third run.