The company, once Russia's largest crude producer, was declared bankrupt August 1 after three years of litigation with authorities over tax arrears.
"The bankruptcy receiver's office has indeed received letters from a number of large international companies, including U.S. company Chevron, expressing interest in buying some of Yukos' assets," Nikolai Lashkevich said.
A consortium of appraisers estimated Yukos assets at $22 billion.
The Yukos group, whose founder Mikhail Khodorkovsky is serving an eight-year prison term for fraud and tax evasion, now faces multi-billion dollar claims from creditors, including state-controlled oil company Rosneft, Rosneft-owned former production unit Yuganskneftegaz, the Federal Tax Service, and more than 20 other companies.