As they often have since the Frenchman’s appointment as manager, 20th-placed Villa began encouragingly before struggling after conceding the opening goal, on this occasion scored from close range by Jonny Howson.
Villa’s deep defensive line left Nathan Redmond with little option but to chip an optimistic cross towards Mbokani, Bacuna’s header fell to Howson, who struck first time.
Diermerci Mbokani headed Norwich’s second in the 87th minute after a period in which Villa had enough possession to score but failed to do so. Wes Hoolahan took possession from Redmond, crossed towards Mbokani, and watched the powerful striker head, under little pressure, beyond Guzan.
Despite relegation now appearing a near-inevitability for Villa, Garde said: “The quality of the players is there for me. The confidence is a key point to playing good football, and you can see, especially, some situations that some of my players are not playing with confidence. You make a technical mistake, you are not free to run everywhere...
“You can say, ‘Yes, they are not good enough’, but I don’t think my players aren’t good enough to win games.
“We didn’t create enough opportunities to put Norwich under pressure. We had ball possession quite a lot but we were not dangerous in the final third.
“I’m realistic, but in the meantime we have to carry on. The spirit and what we showed in the last two games was not as bad as the results were.
“I will be the last one believing that [survival is] possible. At the moment, after defeat, everybody is disappointed.
“I am realistic as well. I’m not a dreamer, but I am someone who won’t run away from his responsibilities. I won’t tell you that I am sure we are going to be safe, but take all what I said, don’t just take one part of my sentences. I am realistic as well.
“I know that week after week the situation is getting more difficult, but until we can still be safe mathematically, I will believe it.”
Norwich have now taken 20 points from their opening 19 league fixtures. Manager Alex Neil described the win as their “most important of the season” before revealing he expected a greater points tally than they presently have.
“The games snowball between now and the end of the season,” he said. “Every game’s going to become more and more important. If you do pick points up it’s great, it sees you clear of trouble. If you don’t, then the next game becomes even bigger.
“The next 19 are going to be huge, but today has probably been our biggest game, because it takes us to that 20-point mark at halfway, and I still think there’s more to come.
“I wouldn’t have taken [this] at the start of the season. We’re probably maybe three or four points off where I think we should be, based on some of the games we’ve played so far, but that gives me optimism for the next half of the season because I think we can do better.”
Rudd, Martin, Bennett, Bassong, Brady, Howson, Tettey, Dorrans (O’Neil 85), Redmond, Hoolahan (Odjidja-Ofoe 88), Mbokani (Jerome 88).
Guzan, Hutton, Richards, Clark, Bacuna (Gestede 69), Gana, Westwood, Sinclair (Traore 58), Veretout (Grealish 81), Richardson, Ayew.