The Schalke playmaker is reported to be one of new Blues boss José Mourinho’s top transfer targets this summer, despite the 19-year-old having signed a new contract just last month.
Borussia Dortmund are another club keen on signing the midfielder – and Draxler says he would relish a move to either Chelsea or Manchester United.
“Which boy doesn’t dream about playing for Real, Barca, Chelsea or Manchester United? There is nothing to be ashamed of,” Draxler told Sport1.
Draxler’s comments come after Schalke sporting director Horst Heldt insisted the Blues are yet to make an official approach for the player.
“I’ve heard nothing about it [interest from Chelsea],” Heldt told Bild. “There has been no official transfer inquiry from Chelsea.
“Still, it’s a fact there are always clubs considering the qualities of players like Julian Draxler.”
Draxler, capped six times by Germany, scored 13 goals in 39 games for Schalke last season.
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