The 34-year-old Ivory Coast international brought an end to an eight-year stay at Stamford Bridge at the end of last season by moving to Chinese club Shanghai Shenhua in a deal believed to be worth £200,000 a week.
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"At the moment no. In my opinion he is not free. He has just left England," Wenger told reporters.
"I don't know about the situation because he came out with a completely different statement.
"You hear he might go to Real Madrid - but then he says 'I am staying in China'. Is it just because he wants to be paid off? I don't know."
The current Spanish champions Real Madrid along with Brendan Rodgers' Liverpool side have been mooted as possible future destinations should he decide to leave China, although the player's representatives denied that Drogba wanted to leave last week.