Despite helping his nation to World Cup glory over the summer, the German ace has played a limited role under Jose Mourinho this season.
His struggles have alerted Wolfsburg, with the Bundesliga giants keen to push through a £22.5m move.
And reports now claim that the winger himself is equally keen on the switch.
The Volkswagen-backed side are chasing a Champions League spot in German football and are on track to challenge at the upper end of their division after a good start to the campaign.
Mourinho has, however, insisted that he does not want to sell his man, but that phenomenal offers may be accepted.
Schurrle missed Chelsea’s FA Cup humiliation at the hands of Bradford on Saturday.