The Schalke midfielder has attracted interest from across Europe in recent years, with Liverpool and Manchester United also reportedly keen on the Germany international.
The 22-year-old is out of contract in Gelsenkirchen at the end of the season, and is free to negotiate a contract with clubs outside of the Bundesliga as of New Year’s Day, only fuelling rumours of a Premier League exit.
However, after having been repeatedly linked with a move to the Allianz Arena, the German giants have confirmed their interest.
"Leon Goretzka is a great player, that's clear," Bayern sporting director Hasan Salihamidzic said via the club's official Twitter account.
"He is a Schalke player and we obviously respect that. But he is a Germany international and we can say that we are interested in him."
Despite missing spells of this season through injury, the 12-cap international has bagged four goals and an assist in 12 games so far.