Both are now restricted free agents, but the Heat will have the right to match any offer they receive from other teams. The Heat made the announcement Monday.
Moon was acquired Feb. 13 from the Toronto Raptors, along with Jermaine O'Neal in exchange for Shawn Marion and Marcus Banks. He appeared in 26 games for the Heat last season averaging 7.1 points, 4.5 rebounds and one assist in 26.5 minutes of action. Moon, from Meridian (Miss.) Community College, finished the season first in the NBA for steals-per-turnover ratio.
Anthony, out of UNLV, appeared in 65 games for the Heat last season averaging 2.2 points, three rebounds and 1.4 blocks.