During the regular season, the former Alabama star averaged 6.4 points and 3.6 rebounds while shooting 54.0% from the field and 37.8% from three-point range.
The unrestricted free agent remains available more than three weeks after he became an unrestricted free agent this summer.
With a 44-38 record, the Warriors finished as the sixth seed in the Western Conference.
In the first round of the NBA playoffs, they beat the Sacramento Kings, but lost to the Los Angeles Lakers in the second round.
In 7.0 minutes of playing time, Green averaged 3.3 points per game during the playoffs.
In 13 minutes of playing time, he put up 15 points, one rebound, two assists, shooting 6/9 from the field and 3/6 from three-point range.