The Sun claims United boss Jose Mourinho considers making a £12million bid for the Stoke winger.
Shaqiri has reportedly caught Mourinho’s eye with impressive World Cup performances in Russia.
The 26-year-old is contracted to the Potters until the summer of 2020.
Speaking to Sporx Shaqiri he stated: “I want to stay in the Premier League, and you will find out my new club soon.”
Shaqiri has also been strongly linked with a move to Liverpool.