The German playmaker has been strongly linked with a move away.
The 23-year-old has been strongly linked with a move away from the Allianz Arena, but it remains to be seen how Carlo Ancelotti - who will replace Pep Guardiola at the end of the season - feels about keeping the unsettled playmaker.
Reports from Germany (Rheinische Post) this weekend had indicated that the Reds had lodged a £20 million bid for the Germany international, whose assist in the World Cup final led to his nation beating Argentina two years ago.
Of course, the subplot here is Klopp's involvement, the 48-year-old having previously worked with and nurtured Gotze at Borussia Dortmund, where he established himself as one of Europe's hottest properties.
"I would, in his place, go to a place where I feel comfortable,” Beckenbaur told Sky Germany, via the Liverpool Echo.
“I have the impression that Mario has not felt right in Munich and also has not been understood, so that he could show his full potential. I would in his place go where I am comfortable and follow in the footsteps of Jurgen Klopp.”
Gotze admitted recently that he and Ancelotti had held discussions regarding his future, but was less forthcoming when asked if a decision had been made by either party.
His contract expires in 2017.