The 31-year-old has been omitted from Chelsea's Champions League squad so far this season.
Agent Fabian Piveteau believes that could help pave the way for a move to another big European club during the January window.
"He could leave Chelsea this winter," Piveteau told French radio station RMC.
"Several major European clubs playing in the Champions League were informed and the situation should settle down within the next 10 days.
"You should know that Michael was not on the list of players who can play in the Champions League with Chelsea, so he is free to play in the competition with another club."
Piveteau rejected a return to Essien's first club Bastia out of hand, admitting that the 52-cap midfielder will only seek to move to a club of similar standing.
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