The 22-year-old, who has long been linked with a move to Arsenal, claims to have informed the Bundesliga club of his intention to leave following the European Championships.
Draxler refuted claims made by Klaus Allofs, Wolfsburg’s sporting director, who said that the Germany international was “100 per cent” happy to stay at the Volkswagen Arena.
"I am surprised that matters regarding my [future] are being communicated in the media," he told Bild.
Asked whether he had made contact with Allofs, Draxler said: "We shortly texted. I talked on the phone with coach [Dieter] Hecking [the Wolfsburg manager].
“Two days after the semifinal at the Euro I explained my point of view and expressed my wish that I want to leave the club.
“Now I'm back in Germany and things are being communicated via the media rather than with me in person. Now I also wanted to make myself heard.
"When I transferred to Wolfsburg in 2015, we had a verbal agreement that I can leave the club when a possibility emerges,” Draxler added. “With Dieter Hecking as well as Klaus Allofs.
"It was obvious that Wolfsburg showed me a good perspective back then, but also served as stepping stone."
Arsenal have been mooted as a potential destination for Draxler, who moved to Wolfsburg from Schalke 04 at the end of last summer’s transfer window for undisclosed fee.
The Gunners are currently in the market for a centre-back after Per Mertesacker was ruled out for several months with a knee injury.
Draxler, however, is believed to be keen on a move to north London, with reports in Germany claiming that Arsenal is the winger's preferred destination.
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