Apple's iPhones, iPads and other gadgets are popular with China's highest-earning consumers but its fast-growing smartphone market is dominated by handsets that use rival Google Inc.'s Android system.
Also in Beijing, Cook met the chairman of China Mobile Ltd., the world's biggest phone carrier, with more than 700 million subscribers. China Mobile has no agreement to support the iPhone, and adding it as a partner would help Apple increase its appeal in China.
China Mobile chairman Xi Guohua and Cook discussed "bilateral cooperation," the phone company said in a statement. It said release of other details was barred by a confidentiality agreement between the companies.
China Mobile says its network already is used by several million customers who brought in unlocked iPhones from abroad.
Apple opened a multistory flagship store on a prominent corner in Beijing's busy Wangfujing shopping district in October, raising its number of mainland retail outlets to 11. Independent stores also resell Apple products.
According to Xinhua, Cook responded to complaints about wages and other work issues at Foxconn, the Taiwanese company that assembles Apple's products in vast factories in China, by saying his company enforces strict codes of conduct for its suppliers.
"We care very deeply about every worker that touches an Apple product, whether they are making it, selling it, serving it or marketing it. We hold ourselves to a very high standard there," he was quoted as saying.