Nocioni, a 6-foot-7 forward, was scheduled to play for Argentina.
After an MRI exam on the ankle, the Sixers team doctor recommended that Nocioni stop all basketball and impact activity until the team opens training camp at the end of September.
Upon Nocioni's return to Philadelphia, another MRI exam will be taken of his left ankle.
He was acquired from Sacramento this summer as part of the trade that sent Sam Dalembert to the Kings.