De Gea made a number of high profile errors for United that, coupled with Dean Henderson's excellent displays on loan at Sheffield United, mean his spot as the club's number one is under threat.
However, Enrique has no doubts about De Gea, starting him in Spain's Nations League clash with Germany on Thursday and was duly rewarded with a fine performance.
De Gea pulled off a number of good saves, including an excellent stop to deny Leroy Sane and picked up the Player of the Match award as Spain drew the game 1-1.
Asked about De Gea in his post-match press conference, Enrique said: "He [De Gea] has played a lot of games like this in England. We monitor him exhaustively, but he and Kepa are in the news if they make a mistake. They're used to it.
"With the game he's played we should be saying what a great goalkeeper we have. I'll encourage them to not fall apart and it's a position that I demand a lot from.
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"But because the press give them such a hard time, I treat them more affectionately. They both know that their mistakes are more noticeable than those of other players, but they're used to it."
Despite De Gea's impressive return to action with the national team, he faces a fight for his place back at United after Henderson signed a new five-year deal worth £120,000 a week and made it clear that he is after regular first team football.
"Look, 100 per cent, the aim is for me to play football next season," Henderson said. "I don't think I want to be not playing after last season, coming off a good season with momentum.
"It wouldn't be clever for me to sit around and not play football, I don't think it would help any parties at all. You can get many things from training and obviously learn off someone like David and the other goalkeepers and coaches.
"But I don't think there's any substitute for game-time."