Speaking to Beinsports channel, the Frenchman said the reports in the British press are "fake news".
Gab Marcotti provides an update on Arsene Wenger after the manager said he's made a decision about his Arsenal future.
Lukas Podolski believes Arsenal will find it very hard to replace Arsene Wenger if the Frenchman leaves at the end of the season.
Arsenal have slipped to sixth in the Premier League following four defeats in their past five games.
He told Sky Sports: "I follow almost every match and I don't know what's happened".
"We suffer a lot at the moment but when you take some distance and put things into perspective, we have two games in hand and we have a semi-final of the cup against Manchester City".
With Mesut Ozil and Alexis Sanchez's futures looking increasingly like they lie away from the Emirates Stadium, Arsene Wenger is looking at possible replacements, with Turan a strong possibility, according to The Times.
When asked if he believed Wenger should stay, Podolski added: "I don't know who the guy is that can replace him". Because of this, there are calls from fans for Wenger to leave at the end of the season - calls that only intensified as Arsenal were beaten 3-1 at West Brom at the weekend. "I formally deny it".
Arsene Wenger could reportedly be forced into making an early announcement on his future at Arsenal due to European Union law stipulations that he is at risk of breaching.
The manager is out of contract after this season and has yet to announce whether he is staying on or stepping down.