Yankees manager Joe Girardi said it was due to a mild right groin injury, but Rodriguez is expected to play in the Yankees' next game, in Baltimore on Tuesday.
"I'll be ready Tuesday," Rodriguez said, who felt the injury prior to warmups.
A-Rod said he thinks playing 14 innings on turf in Saturday's loss in Toronto triggered the injury
"It was more the turf than anything else," said Rodriguez.
Prior to the ninth inning in the road manager's office Sunday, Rodriguez told Girardi, who had been thrown out, that the groin felt worse.
"He said it was not painful, he said it just felt a little tight," Girardi said. "It is probably the 14 innings on the turf. I expect he will be fine Tuesday."
Ramiro Pena came in to play third base. The first out of the inning came his way, a chopper off Vernon Wells' bat that Pena fielded, then fired to first to complete the play. Pena also took care of the final out, on an Alex Gonzalez grounder to third.
Rodriguez finished the game 1-for-4. His only hit was a second-inning infield single. He ended up getting thrown out at second when he tried to stretch it.
Andrew Marchand covers the Yankees for ESPNNewYork.com.