Bayern Munich forward Thomas Muller admits he has a special relationship with new Manchester United manager Louis van Gaal but has played down suggestions he is looking to leave the Allianz Arena.

United officially confirmed the appointment of the 62-year-old Netherlands coach on Monday in a move that is expected to spark the beginning of an overhaul at Old Trafford following a dismal Premier League campaign.

The club have been linked with a number of Bundesliga stars as they seek to address the shortcomings in their squad, including Muller.

The 24-year-old has been a mainstay in the Bayern XI for a number of seasons but originally broke into the first team during van Gaal's spell in charge in 2009.

Suggestions that the German international has grown frustrated with Pep Guardiola's reluctance to leave him on the pitch for a full 90 minutes have worked to fuel rumours of a summer exit, with a possible reunion with his former manager touted in the German press.

But although he maintains a close relationship with the new United, boss, Muller has little desire to leave the Allianz Arena.

"It's no secret that Louis van Gaal and I have a special relationship but, as everyone knows, I also have a special relationship with FC Bayern Munich. I am under contract at Bayern until 2017," Muller was quoted as saying by Bild, ESPN report.

"We have just won the domestic double and now I am looking forward to the World Cup. I have the feeling that I will play an important role at FC Bayern -- and I 100 percent identify with the club and the people around the club. That's a fact."

He added: "I enjoy playing for Bayern -- actually, there is nothing nicer."

Reports earlier this month suggested the forward has grown disenchanted with Guardiola's lack of faith in him during the club's biggest games this season.

Muller did not compete any of the games against Real Madrid and Manchester United in the quarter-final and semi-final stages of the Champions League while he had to settle for cameo appearances off the bench against Arsenal in the first knock out round. The German international was also left on the bench for Bundesliga clashes against Bayern's closest domestic rivals in Borussia Dortmund and Schalke.

However, the forward was handed a starting role in the Bayern XI in the German Cup final against Jurgen Klopp's side and would score in extra time to help his side seal a domestic double.