Greene went 3-for-4 with a walk, an RBI and three runs scored in Saturday's 6-4, 10-inning win over the Orioles.
Greene went 2-for-4 Sunday with two home runs and three RBI against the Orioles.
Greene went 4-for-6 with a double, two RBI and a run scored in Friday's 7-6 extra-inning loss to the Athletics.
Greene went 1-for-4 with a two-run home run Sunday against the Red Sox.
Greene is not in the starting lineup for Monday's game against the White Sox.
Greene went 2-for-5 with a double and two runs scored in Friday's 5-2 win over the White Sox.
Greene is out of the lineup for Thursday's game against the Cubs.
The Tigers reinstated Greene (hamstring) from the 10-day injured list and designed him as the 27th man for Sunday's Little League Classic against the Yankees in Williamsport, Penn., reports Jason Beck of MLB.com. Green will bat second as the designated hitter.
Greene (hamstring) will begin a rehab assignment with Triple-A Toledo on Thursday, Evan Woodbery of MLive.com reports.
Greene (hamstring) ran sprints and was expected to run the bases at Comerica Park on Tuesday, Chris McCosky of The Detroit News reports.