After helping the Blues win the Champions League final in a dramatic penalty shoot-out, the 34-year-old Ivory Coast striker left Chelsea for Shanghai Shenhua on a lucrative free-transfer.
However, following an apparent power struggle behind the scenes at the Chinese Super League club, it had been reported Drogba was looking for a way out and could even be released from his deal, said to be worth in excess of £200,000 a week. Asked about a move for Drogba, Wenger said: "At the moment no. In my opinion he is not free. He has just left England."
Those transfer suggestions, however, have since been played down by the striker's UK management company. Arsenal previously tracked Drogba when he was at Le Mans and Guingamp, but Wenger claims the Gunners are not preparing to go back into the market for the former Marseille frontman, who gave their defence so much trouble during his eight years at Chelsea.
Wenger added: "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."
Wenger, meanwhile, remains hopeful Bacary Sagna will extend his stay at Arsenal. The France defender is currently close to a return from a broken leg suffered at the end of last season.
Sagna recently voiced his concerns in a French newspaper interview following the sales of captain Robin van Persie and midfielder Alex Song, as well as the desire to secure trophies like former team-mates Gael Clichy and Samir Nasri have done since moves to Manchester City.
The 29-year-old, signed from Auxerre in 2008, also revealed, despite heading towards the final season of his current deal in 2013, discussions had not yet started on an extension. While Wenger is not overly concerned about the situation.
"Bacary didn't want to be negative, but you all know what you can do with any statement," said the Arsenal boss. "It is important to understand what he wanted to stay. What he wanted to say was not exactly the spirit of the whole thing, but you have the freedom to say what you want in life.
"It is also important you understand what people feel about the club and their job. It is always important to have good communication with them."
- Chinese Super League