Puig sustained the injury in his first at-bat Monday night, but he played the rest of that game and all of Tuesday night's game. He was scratched at game time Wednesday night and two hours before Thursday's game.
"It's a pain tolerance thing," manager Don Mattingly said.
Puig, who had a raw patch of skin the size of a quarter, took some pregame batting practice in the batting cage.
"They're trying to figure out if he can do anything," Mattingly said, presumably meaning as a pinch-hitter. "Really, everybody has them. If they come off, his kind of tore and at that point it's into raw skin. You've got to deal with it. It usually takes a couple of days to toughen up."
Puig's scratch was a blow to a lineup that already was without Joc Pederson, Adrian Gonzalez and Yasmani Grandal, being rested against Cubs left-handed starter Jon Lester, even though lefties have been hitting Lester better than righties have this year.
Mattingly had Enrique Hernandez leading off in center field, Justin Turner at first base and A.J. Ellis catching. Alex Guerrero, originally the third baseman, moved to left field, with Scott Van Slyke moving from left field to replace Puig in right and Albert Callaspo at third base.