Rooney is already a star in China, where there is huge support for Manchester United.
A source told The Sun: "Wayne loves playing for United and has pretty much achieved everything in the game. But he knows the time comes for everyone to leave so he's asked his team to consider what options he has."
In November Beijing Guoan chairman Luo Ning said Rooney - who earns about $500,000 a week at United - had rejected his club's approach.
Ning said: "Rooney says he'll keep playing in the Premier League as long as his health allows. We even met with his agent."
Guangzhou Evergrande Taobao - the richest club in China - is reported to also be chasing Rooney, who has just broken Bobby Charlton's Manchester United goalscoring record.