The result left United 18th in the Championship with just two wins in 11 laegue games this season.
The former Rotherham manager Steve Evans, who left the club in unexplained circumstances in September, is understood to have been lined up as a replacement and will take training at the club’s Thorp Arch base today.
Rösler had become Leeds’ fifth manager in just over 12 months when he signed a two-year deal in May, having previously been in charge at Wigan Athletic and Brentford.
According to Adam Pearson, the club’s executive director, the Italian owner Massimo Cellino had only one meeting with the German before he offered him a contract as head coach. “There were hundreds of candidates but the president was able to make a quick and definite decision,” he said.
Rösler follows his predecessors Neil Redfearn, Darko Milanic, Dave Hockaday and Brian McDermott out of the door since Cellino officially took charge in April 2014.
Redfearn, ironically, was appointed to succeed Evans at Rotherham.
Rösler’s last communique was insisting that “we can’t feel sorry for ourselves” on the club website as he unknowingly prepared the team for Wednesday’s visit to Fulham.