Hitzfeld, who led Bayern to five Bundesliga titles and a Champions League crown, said the club would need to move quickly to secure a deal.
Klinsmann, 20, the son of former U.S. head coach Jurgen Klinsmann, will join the club for the first part of their preseason campaign on July 3.
Gab Marcotti and the FC crew debate the ever-evolving saga of Aubameyang, and if, or when he will move on from Dortmund.
Bayern Munich have been hit with a €15,000 fine after the club's fans set off fireworks during two away games this year.
Havard Nordtveit has signed for Hoffenheim from West Ham after just one season at the Premier League club.
Striker set to join Tianjin Quanjian for a reported €35 million (£30.8m).