Chisenhall, who played in 66 games for the Indians last year as a rookie, was recalled from Class AAA Columbus before the game and responded by going 2-for-4 with a solo homer that ignited a five-run third inning.
Jose Lopez drove in three runs and Jason Kipnis went 3-for-4 with a pair of RBI for the Indians, who snapped a three-game skid and maintained a half-game lead over the second-place Chicago White Sox in the American League Central.
Josh Tomlin (2-2) earned the victory despite allowing four runs on four hits over five innings, while Chris Perez racked up his major league-best 17th save for the Tribe.
Royals starter Nate Adcock (0-3) lasted only 2 1/3 innings, getting tagged for five runs (four earned) on six hits.
Swim Week Miami Beach 2014 [PHOTOS]