The assistant captain was in the lineup Saturday night against the Colorado Avalanche.
To make room on the roster, Los Angeles assigned defenseman Jake Muzzin to Manchester of the American Hockey League. Muzzin has one point in six games with the Kings this season.
The 27-year-old Greene is in his third season with the Kings.
In another roster move earlier Saturday, the Kings released former backup goalie Erik Ersberg, who is expected to join a team in Russia.
The Kings formally released Ersberg on Saturday, more than a week after they placed him on waivers when he left their AHL affiliate in Manchester without permission.
Ersberg played two games in Manchester before leaving for an apparent job in the KHL.
Ersberg played in just 11 games for the Kings last season, never winning the trust of coach Terry Murray while Quick set the franchise record for victories.
Information from The Associated Press was used in this report.