Suarez came back from injury to single-handedly beat the Three Lions in Sao Paulo to effectively send Roy Hodgson's side crashing out of the tournament.
The performance comes weeks after the Liverpool hitman was rewarded for his 31-goal season for the Reds with multiple Player of the Year awards.
Often criticised for his behaviour in England, the 27-year-old also won admirers for the way in which he cleaned up his act last season, and Mourinho admits that he is a big fan of the striker.
Speaking to Yahoo, the Chelsea manager said: "When his behaviour is okay, people give him the credit he deserves. I speak by myself - when he dives and tries to win penalties out of nothing I don't like the situation.
"But when he plays like he did many, many times for Liverpool, and when he plays like he did [against England] - I have to say, [he is] absolutely amazing.
"The commitment, the connection with the players, the connection with the supporters - I have to say, amazing."
Liverpool could face a fight to hang on to their prized asset beyond the summer, with Barcelona reportedly lining up a £30m bid with Alexis Sanchez included in the prospective deal.