Yankees manager Joe Girardi said X-rays were negative.
"He's fine," Girardi said after the Yankees' 6-3 loss. "There are no broken bones. It's just a contusion. He's sore."
The team will re-evaluate Cano on Monday.
On the play, Cano swung through the pitch and was hit. He immediately grabbed his hand.
Yankees trainer Steve Donohue rushed out to attend to Cano, who walked off the field and into the clubhouse.
Chris Girandola is a contributor to ESPNNewYork.com.