He shot to fame for his aggressive style during the 2014-15 NBA playoffs series, which Cleveland lost to Golden State.
However he and Cleveland turned the tables last season, before he helped Australia to within one victory of their first men's basketball Olympic medal.
"Everyone dreams of the one-in-a-million chance of playing in the NBA," Green said."
But this blue-collar kid actually achieved it.
"I am looking forward to bringing this story to the big screen."
Dellavedova, 26, said he was honoured by the project.
"I am thrilled to be working with this incredible group to tell my story to inspire kids around the world to dream big and that hard work and perseverance pays off," he said.
- AAP