The outfielder also missed six weeks of the regular season with a fractured right forearm, suffered when he was drilled by a pitch in the Yanks' first Spring Training game.
"I think you roll with the punches because you have to," Yankees manager Joe Girardi said. "I think the feelings that we have right now, there's a sadness for Curtis. It's a big year for him. He's a big player for our lineup. And there's a sadness that he's going through it again."
Boesch, 28, hit .209 with two homers and five RBIs in 20 games of part-time duty with the Yankees earlier this season. He was batting just .179 (5-for-28) at Triple-A, but Girardi said the Yanks were looking for a left-handed hitter with experience to take Granderson's roster spot.
"We're in a stretch of 17 days in a row. I can't run our outfielders out there every day, so [Boesch is] going to play some," Girardi said.
When the Yankees optioned Boesch to the Minors in between games of a May 13 doubleheader in Cleveland, he said that he welcomed the chance to play every day at Scranton/Wilkes-Barre.
"I went down and I think I was a little more gung-ho, and suddenly you're down and you realize you have a tough mental adjustment to make," Boesch said. "Probably a little tougher than I thought. I felt like the last couple days I was really getting after my at-bats, grinding them out better."
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.