Lahm only hung up his playing boots last May, but there have been persistent rumours in the German press suggesting the 2014 FIFA World Cup-winning skipper could succeed Jupp Heynckes as coach in the summer.
"Philipp is always going to be linked with a return, regardless of the position," the 28-year-old said. "He lived and breathed Bayern, and is someone who can see the bigger picture. He has the necessary experience, knows the team inside out, and obviously brings a lot to the table. Otherwise he wouldn't have been a candidate for the sporting director's job last summer."
Müller, who won Bundesliga titles under Spaniard Pep Guardiola and Italian Carlo Ancelotti prior to Heynckes' short-term reappointment, was also asked whether Bayern's next coach needs to be - as the club hierarchy have stipulated - a German speaker.
"It doesn't matter if they use hands or feet, and it doesn't matter what languages they speak, as long as they can communicate with the team easily," Müller told Sky. "And there are definitely a number of ways to do that."
Watch: The keys to Bayern's resurgence under Heynckes
Runaway Bundesliga leaders Bayern are expected to name their new coach before the end of the 2017/18 campaign, although talk of 72-year-old Heynckes extending his stay refuses to go away.
"I can only say nothing at all is decided yet because, until now, I have definitely never said I will retire in the summer," Heynckes told media in early March. "I have only ever referred to our agreement from last year which is still valid."
The plot thickens...