"It's a challenge when you have to come in on a consistent basis and find things to do to occupy your time," Greene said Wednesday.
Greene fractured his hand in an act of frustration on July 30, punching a wall just outside the Padres' home dugout after striking out.
Greene's left hand was placed in a cast the next day, and he's been wearing it ever since, though he expects to have the cast removed and replaced with a splint when he visits the team doctor on Friday.
It's unlikely Greene will return this season, though he said Wednesday that he would like to at least be able to return to work out with the team in September.
"I would definitely like to take BP [batting practice] and play catch, which I think will be possible," Greene said.
Greene was batting .213 with 10 home runs, 35 RBIs and a team-high 100 strikeouts in 389 at-bats at the time of his injury.
Last season, Greene was the club MVP when he batted .254 with career highs in homers (27), RBIs (97), runs (89), hits (155), doubles (44) and games played (153).
Corey Brock is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.