Turiaf played four games with the Wizards this season.
Turiaf expects to choose a new team by Wednesday when he clears waivers, agent Mark Bartelstein told ESPN.com.
Turiaf, 29, is being pursued by a handful of teams led by the Boston Celtics and Miami Heat. He hasn't played since Jan. 1 when he broke his left hand for the second time in the last year. He has been cleared to play, Bartelstein said.
"He's at the end of his contract so Ronny is looking for some significant playing time and a significant role," Bartelstein said. "We have a number of teams interested."
The Celtics have perhaps the largest need having lost two big men in the last two weeks. Chris Wilcox is out for the season because he needs heart surgery. On Monday the Celtics announced Jermaine O'Neal would be lost for the season because he needs surgery on his wrist.
The Heat have been in search of a backup big man for the last two months as they look to bolster their rotation.
Turiaf has averaged 5.2 points and 3.8 rebounds over his seven-year career.
ESPN.com's Brian Windhorst and The Associated Press contributed to this report.