The Premier League giants have been linked with a move for the forward, who has hinted he would be open to a switch to England.
The attacking midfielder’s future has been the subject of speculation in recent weeks, with talks suggesting Pep Guardiola may be looking to cash in on him at the end of the season.
Shaqiri moved to Bayern from Basel in 2012, but has been unable to hold down a regular first team place this season.
Liverpool and Manchester United have expressed an interest in the Swiss international, who can play in a number of positions across the midfield or behind the striker.
Bayern Munich are keen to hold discussions with the player over his future in the coming weeks, which are set to decide his future, and give a clearer indication as to whether the Premier League duo will launch a summer bid for his services.