With the Super League now complete, the Ivory Coast striker is hoping to train with his former club in order to maintain fitness ahead of the Africa Cup of Nations
Shanghai Shenhua finished a lowly ninth in the CSL, after the Ivorian's eight goals in his first 11 games came too late to save his new club's domestic season.
But with the 2013 Africa Cup of Nations approaching, the 34-year-old is keen to maintain sharpness and is hoping his former club will help him to do so.
"It will first be necessary that I ask permission to Shanghai and Chelsea also,” Drogba told France Football.
“Then, if everyone agrees, it is possible that I will go and train there until the African Cup starts."
Drogba went on to dismiss claims that he was ready to leave China due to a salary dispute as "absolutely false".
He added: "It is absolutely false that I have been paid late at any point - I've never had this problem here.
"At the ages of 20 or 25 players size each other up a bit on that subject, but not at my age. Among everyone who criticises me for my salary, I would not find one that tells me he would refuse that contract if it was under his eyes."