He is certain that Anthony -- and every player on the Knicks roster -- will struggle in the triangle offense, former team president Phil Jackson's trademarked attack, because it's a poor arrangement.
"The triangle is the worst offense ever, unless you have Michael [Jordan] or Kobe [Bryant]," Boeheim told ESPN, referencing the 11 NBA titles Jackson won with the Chicago Bulls and Los Angeles Lakers while employing the system.
A disdain for the triangle has contributed to a turbulent stretch for Anthony, who averaged 22.4 points per game last season.
Knicks owner James Dolan cut ties with Jackson earlier this week after a series of public spats with Anthony and young star Kristaps Porzingis.
According to ESPN reports, the Knicks may choose one of three options for Anthony this offseason: buy out his contract, trade him or keep him on the roster entering the 2017-18 season.
The All-Star is also dealing with marital drama. La La Anthony, his estranged wife, said she is unsure of their future during an episode of "The Wendy Williams Show" this week.
Boeheim said Anthony, who has two years remaining on a five-year, $124 million deal, wants to stay in New York, if possible. He also said Anthony can compete at an elite level for "two or three more years" if he finds the right situation.
"He likes New York," Boeheim said. "He wants to play in New York."