The match played in Azerbaijan saw Chelsea pump in two goals after hosts captain, Rashad Farhad Sadygov was redcarded in the 19th minute for fouling Chelsea player Willian in the box.
After the match Chelsea's head coach said he would spend the six-hour flight back to London thinking about how best to set up against Liverpool on Saturday.
"This group is showing great character", Conte said. "With my staff we started also before, not to arrive [unprepared] at the last moment".
Atletico Madrid, runners-up twice in the past four years, retained an outside chance of pipping Roma to a place in the knockout stage as Antoine Griezmann snapped an eight-match goal drought in a 2-0 win in Spain.
'I came off, N'Golo [Kante] too, so yeah it's easy.
1 - Eden Hazard has both scored and assisted in a single Champions League game for the first time in his career. What happened in the first half is hard to explain. We should have scored more. "We know the qualities of Liverpool".
Ahead of Chelsea's penultimate Champions League group game, away to Qarabag, the home side put together a matchday programme with details of their opposition within - but something didn't look quite right.
22' - GOAL! Qarabag 0-1 Chelsea (Hazard). Maybe that would be different if that went in.
Liverpool FC Liverpool Team average- 7.14
Willian made the victory even more emphatic by driving home a low finish from 25 meters in the 85th, taking Chelsea's tally of goals against Qarabag in the group stage to 10.
The Italian added: "We have to work during the flight, to prepare the game against Liverpool". Sadygov fouled Willian - he pulled him back - and did that in the area so it was a penalty.
He added: "Was it a penalty?" It may seem harsh given how little contact there was, but those are the rules. For me it was a penalty - I don't think for you guys it is, but for me it was a penalty.
Willian has been poor this season and he was starting to become a target of his side's fan base after managing just one goal and two assists in his 17 previous appearances in all competitions. "We deserved to win".
"We needed a response".
In London, it has proven even more hard to secure regular game time and his future was starting to come under the microscope, with talk of a move to AC Milan in recent weeks - despite the fact that Willian has repeatedly stated that he is happy in West London.
Information from PA Sport was used in this story.
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