The Scot was relieved of his duties at Old Trafford just 10 months into a six-year contract, and his Blues counterpart has expressed his sympathies.
The Scot was relieved of his duties just 10 months into a six-year contract having presided over the club's worst campaign of the Premier League era — with Ryan Giggs promptly named as interim head coach.
Louis van Gaal is the favorite to take over the vacancy, despite links with Tottenham, and is known to be "very keen" on the role, although first-choice candidate Jurgen Klopp has distanced himself from an approach.
Real Madrid manager Carlo Ancelotti previously acknowledged his surprise at the firing and Mourinho — who was linked with the Old Trafford job before Moyes was appointed — has echoed the Italian's sentiments.
"I prefer not to comment. I feel sorry for him, obviously," he told ITV. "I just feel sorry for David like I feel sorry for every manager who loses his job."
Moyes, who created a host of unwanted records during his brief stint at Old Trafford, has become the first United manager to be dismissed since Ron Atkinson in 1986.