The Poland international has been heavily linked with a move away from the German champions in the summer transfer window.
Lewandowski has grown frustrated at the Allianz Arena and has seen his relationship with the Bayern board deteriorate.
The 29-year-old striker has won four successive Bundesliga titles with Bayern since his controversial move from their bitter rivals Borussia Dortmund in 2014.
The Polish centre-forward would certainly fit the bill as the type of striker Chelsea FC would like to sign given Alvaro Morata’s frustrating first season at Stamford Bridge.
The Bayern striker was spoken about his intent to leave the Bundesliga and test himself in another top European league in the remaining seasons of his professional career.
“I’ve already said that I don’t want to play in the same League forever, that’s for sure: but don’t know my future right now,” Lewandowski told the Players’ Tribune.
“The market? For now I’m not thinking about it.
“But I’m 29 and I know I can still play for many more years if I don’t hurt myself.”
Lewandowski scored 29 goals in 30 appearances in the Bundesliga to win their fourth successive German top flight crown.
The Polish striker has been linked with Chelsea FC’s bitter rivals Liverpool FC and Manchester United in the past.
Chelsea FC finished in fifth place in the Premier League table last term to miss out on a spot in the Champions League.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news