Cron was struck by Danny Mendick's hard-hit grounder in the fourth inning and stayed down for a while. He eventually walked off with some assistance.
Detroit pitcher Daniel Norris made an acrobatic play, hustling over to retrieve the ball and retiring Mendick with a diving tag while Cron lay on the ground in pain.
White Sox slugger Jose Abreu came up limping after grounding out in the eighth and left the game as well.
The Tigers added Cron this offseason to provide more power in what was an anemic lineup in 2019. He's hitting .190 but does have four home runs.
The Associated Press contributed to this report.