Parker said: "I think we have got the best coach in football and the team has under-performed, so I'm not surprised if the media give Pep and City a bit of stick".
Three weeks ago, Guardiola's side came from behind twice to win the first leg 5-3.
Though Stones felt the second half should have made a bigger difference to the scoreline in City's favour, he accepted they had let themselves down by failing to react effectively to set-pieces. "We scored five goals when it's not easy to score against them".
Sagna, speaking ahead of their vital Premier League clash against top-four rivals Liverpool on Sunday said, "It is a massive disappointment".
"We lost the first game because of our mistakes, it's the small details that cost us the game", Jardim said during Tuesday's press conference on the eve of the second leg. We created chances, we missed a lot of them.
"I don't know. I think that both teams will continue with the same idea in mind". They certainly didn't expect that. In the second half, our opponents had a response, it's normal, but we held out well... A second half goal from Leroy Sane had put Pep Guardiola's men on course to book a place in the last eight of the competition but Tiemoue Bakayoko headed home in the 77th minute to send the home side through on away goals as it finished 6-6 on aggregate. Yaya Toure, a player capable of playing in defensive midfield, was on the bench.
City, who have struggled to translate their domestic success on to the European stage in recent years, were eliminated in the semi-finals by Real Madrid last year but De Bruyne is hoping to go at least one step further this term.
French league leaders Monaco have scored 123 goals in all competitions this season while City have looked defensively fragile throughout much of the campaign.
City were first breached in the eighth minute by Mbappe, who had already forced a fine save from Willy Caballero, and their defence was cut open time after time.
"The problem was that in the first half we were not there, our strength when we have the ball is to be aggressive, but we didn't".
All three goals City conceded raised questions about their defence, particularly the victor, when Bakayoko was allowed to rise unchallenged to head home Thomas Lemar's free-kick 13 minutes from time. Tonight, Monaco showed that we're a team that plays well, which has ambition. "We didn't score enough and weren't defensively solid enough".