Pochettino has won rave reviews for his work with Spurs, turning the London club into Premier League title challengers since taking over in 2014.
That record has not gone unnoticed, with Real Madrid among the sides linked with the manager should he leave his current employers.
According to Hamann, however, Bayern are keen to turn to Pochettino if Heynckes decided to end his interim term at the Allianz Arena at the end of the season.
"Some say the Bayern coach should be a German, it might be one area of importance, but not the only one.
"Even Pep [Guardiola] was not perfect. It is about picking the best coach possible.
"For me, that man is Pochettino."
While Pochettino is still waiting for his first trophy as a manager, he took Tottenham to second place in last year's Premier League campaign to mark a second successive qualification for the Champions League.
Spurs currently lie third in the league, and narrowly missed out on a berth in the Champions League quarters after losing out to Juventus in a thrilling last-16 tie.