Greene is out of the lineup for Wednesday's game against the Marlins.
Greene went 3-for-4 with a walk and a run scored in Friday's 2-1 loss to the Yankees.
Greene went 2-for-3 with a walk, two home runs and three RBI in Tuesday's 4-2 win over the Rays.
Greene is out of the lineup for Friday's game at Minnesota, Chris McCosky of The Detroit News reports.
Greene went 2-for-4 with a walk, a double, a triple, an RBI and two runs scored in Thursday's 9-7 loss to the Rangers.
Greene went 1-for-3 with a walk, a double, an RBI and two runs scored in Friday's 8-2 win over the Twins.
Greene is starting at shortstop and batting leadoff Friday against the Twins.
Greene went 2-for-3 with a solo home run and a walk in Sunday's loss to the A's.
Greene went 1-for-4 with a walk, a solo home run and two runs scored in Saturday's 7-6, 10-inning win over the White Sox.
Greene (elbow) will start in right field and bat leadoff in Tuesday's split-squad game against the Blue Jays, Evan Petzold of the Detroit Free Press reports.