Suarez condemned England to a 2-1 defeat with brilliantly-taken two goals, and the Three Lions' World Cup adventure was ended on Friday when Costa Rica orchestrated a shock defeat over Italy.
The Liverpool player has attracted controversy for racially abusing Patrice Evra, biting Branislav Ivanovic and endless accusations of play-acting - but Mourinho says he does get the credit he deserves when he shows his best side.
"I think there are two periods of Luis Suarez," said Mourinho. "The one period, before I arrived (back at Chelsea) he had bad behaviour. He had that situation with Ivanovic, he had the suspension for a long period.
"Obviously he was criticised. After that there is a second period of Suarez, which was this last season and this season he was voted by the English football press association the player of the season, so I think they all recognise that he is a fantastic player.
"When his behaviour is okay, people give him the credit that he deserves. I speak by myself.
"When he dives and he tries to get 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 absolutely amazing.
"The commitment, the connection with the players, the connection with the supporters - I have to say, amazing."
Mourinho was also asked to name the players who had impressed him at the World Cup so far. You can see his surprising answer in full below.
- Sports & Recreation
- Luis Suarez
- Branislav Ivanovic