This remarks come amid efforts by the club’s leadership to quell speculation about a potential return to the Premier League for the 32-year-old, whose current deal runs until 2027.
"We're probably witnessing the best version of Harry Kane there has ever been,” Freund told Sky Sport.
“He's a perfect player for us, and Harry feels very comfortable in Munich, with the team and his family. That's why we hope he'll stay in Munich for a few more years."
"It's still too early to discuss it in detail. I think both sides can easily imagine continuing together beyond the end of the current contract."
Kane’s contract situation at Bayern has been under the spotlight recently, following reports of a release clause that could see the striker leave for £57m ($77m).