But the Kings haven't had any room in the lineup for him lately, and the veteran understands.
"You always want to play," Greene said. "You always want to play and be out there. Right now we're winning games and you can't complain about that."
Greene has been a healthy scratch in 14 of the past 15 games as defenseman Alec Martinez has ably filled a spot on the third defense pairing. It wasn't certain if Greene would play Monday against the Minnesota Wild (10 p.m. ET, NBCSN); there were no extra skaters at the morning skate. Greene's next game will be the 500th of his career.
However, it seems unlikely the Kings would alter the lineup in the midst of a six-game winning streak and a stretch of 14 wins in 17 games.
It's been a somewhat lost two seasons for Greene, who missed all but five games last season because of a back injury and this season has missed 21 games because of injuries in November, December and January. It's fair to wonder if these are the last days in Los Angeles for the impending free agent.
But Greene reiterated that he knows the situation.
"I think I'm doing everything I can off the ice, on the ice [to get back in the lineup]," he said. "These guys are playing well right now. We're having a lot of success and they're playing good and that's it. So right now it's not my time. It's my time to be a good teammate and just cheer the guys on."
The Wild were expected to go with Ilya Bryzgalov in goal. In 26 career games against the Kings, he is 14-7-4 with a 2.32 goals-against average, .919 save percentage and two shutouts.
Here is how the lineups for each team could look Monday: