Cruz said he iced the hand on Wednesday night and that it was a little sore Thursday afternoon, but he took some swings in the batting cage and felt fine.
He won't play in Thursday's game against the San Francisco Giants as a precaution, but could be back in the lineup on Friday when the Rangers travel to Scottsdale, Ariz., to take on the Colorado Rockies. He remains day to day.
"It's kind of sore, but I don't think it's that big of a deal," Cruz said.
Cruz, 31, was hit by a pitch thrown by Kansas City's Luke Hochevar on Wednesday night.
The club's X-ray machine is on its way back to Texas, but the athletic trainers didn't deem Cruz's injury serious enough to send him out to get one, either.
Cruz was hitting .279 with one homer and nine RBIs going into Wednesday's game. He has been on the disabled list five times the past two seasons, all of them with leg-related issues (hamstring and quad muscle strains). He played in 124 games last season and hit .263 with 29 home runs and 87 RBIs. Cruz was the ALCS MVP in 2011 after hitting .364 with a playoff-record six homers and 13 RBIs in one series.
He hit the first postseason walk-off grand slam in big league history in the 11th inning of Game 2 vs. Detroit at Rangers Ballpark in Arlington.