The right-hander was promoted before the Yankees played the Baltimore Orioles on Wednesday night.
The 25-year-old Greene has never pitched above Double-A Trenton but was impressive during spring training, showing a 95 mph fastball. He was on Scranton’s roster but hadn’t pitched yet this season.
Manager Joe Girardi said Greene was summoned because Robertson is out with a strained left groin and Vidal Nuno pitched 3 1-3 innings Tuesday and would not be available until at least Saturday.
Romine was recalled Saturday when first baseman Mark Teixeira went on the DL with a hamstring strain.