The 33-year-old Ivory Coast striker looks increasingly set to walk away from Stamford Bridge for nothing when his contract expires next summer.
And his agent, Thierno Seydi, is weighing up lucrative options including possible moves to America, Russia or Asia.
"Didier has had the offer of a one-year extension from Chelsea. That does not suit us," Seydi is quoted as saying by The Sun.
"We know what we want, where we want to go and what offers we have.
"AC Milan came in for Didier on loan with an option to buy but I said 'No' straight away. Their offer did not interest us.
"At Didier's age, he has nothing left to prove as a player. He will go where he is offered the most money.
"It could be the United States, Russia, Qatar or somewhere else in Asia. Once you are well into your thirties you have to go to a club where you can be certain you'll be able to pay your bills.
"LA Galaxy are a possibility among many others. He has been linked with Anzhi Makhachkala in Russia, as they pay well. But neither Didier nor I have had an offer from them."
