Leipzig club R.
Rose, 48, leaves with Leipzig two and a half years later and with the sixth side of the Premier League table.
They have won three of their last 11 Premier League appearances, seven left behind after the losing Monchengladbach.
Leipzig are just three points less than the Champions League qualifiers and will play Stuttgart in the Bundesliga semi-finals on Wednesday.
Former Liverpool manager Jurgen Klopp is currently working as a World Footballer of the World Football Group.
In January, Klopp said, “I’m not coaching Redbell if an opportunity arises.
“We have believed in our cooperation with Marco and his team for a long time, and so far, we have tried everything to change things together,” said Marcel Schafar, director of Leipzig management for sports.
“Considering the development and lack of results, we are all strongly convinced that we need a new motivation for the campaign to achieve our goals for this season.