Hanrahan left the team to be with his family following the death of his grandmother. He is expected to return to the Pirates on Sunday.
Manager Clint Hurdle says he's not sure who would serve as the team's closer in place of Hanrahan. Juan Cruz collected two saves earlier this season while Hanrahan dealt with a balky hamstring.
McCutchen went 5-3 with a 3.72 ERA with the Pirates last season but failed to make the team out of spring training after going 0-1 with a 9.82 ERA in nine appearances. McCutchen is 2-2 with a 2.49 ERA in 11 games with Indianapolis this season.