SHANGHAI—Fosun Group halted trading in shares of its listed units on Friday, following a Chinese media report that its co-founder and chairman, high-profile billionaire Guo Guangchang, can’t be reached.

Shanghai-based Fosun, which has holdings that range from real estate in China and abroad, to banks to ownership of Club Med resorts, declined to comment on the report from Caixin, a Chinese business publication. A spokeswoman for…