The 24 year old has been frozen out of the starting line up at Old Trafford since David Moyes has taken over the managerial hot seat and does not want to risk losing his fitness and form.
Kagawa is seen by the supporters as important creative influence for the side but with the 2014 World Cup in Brazil on the horizon, he appears ready to move on.
The emergence of Belgian starlet Adnan Januzaj has seen the Japanese international further marginalised on the sidelines and there are plenty of suitors believed to be keen on his services.
After arriving at Manchester United for £17 million from Borussia Dortmund in 2012 several had expected him to be a regular fixture in the starting XI but Kagawa is still waiting for a consistent run in the first team.
Jurgen Klopp has regularly expressed his admiration for his former star and has said the door always remains opens should Kagawa wish to return to Germany with last season’s Champions League runners up.
David Moyes has publicly insisted there is still a place for Shinji Kagawa and he could feature in the side;s midweek fixture against Real Sociedad.