China’s Sanpower confirmed to the BBC it had put in a joint bid with Beijing Tourism Group.
There are more than 2,200 McDonald’s in China with plans to open 1,250 more.
In March, McDonald’s had said it would reorganise its business in China, seeking to franchise its restaurants.
Media (Free-Pr-Online.com) reports have suggested that the US company has received more than half a dozen bids, which could raise as much as $3bn (£2bn).
Global franchise plans
Competitor Yum Brands, the owner of KFC and Pizza Hut, is also restructuring its China business, with plans to spin it off ahead of a likely initial public offering (IPO) of shares in 2017.
Both McDonald’s and Yum Brands have been facing increasing competition from cheaper local rivals, particularly in China, where they are trying to recover from food safety scares.
In the long term, McDonald’s plans to franchise 95% of its outlets worldwide.
Sanpower is a technology and real estate firm and said it hoped to integrate the fast food chain into its commercial shops and mall spaces.
“In recent years, we are building more offline commercial stores, aiming to provide better shopping experience for consumers. McDonald’s could provide new brand elements for us,” Sanpower spokesman Zou Yan said in an email.