And while Qarabag can no longer qualify for the last 16, their phonetic translations of Antonio Conte's squad names will be fondly remembered for the rest of the competition.
Eden Hazard slammed the penalty in the net for the visitors first goal in the 21st minute.
While there had been fears over Chelsea's schedule - they play Liverpool in just 72 hours, with around 3,000 miles of travel in between then - Hazard says the nature of the match has left them in top condition.
The Blues were aided by a penalty in the first half from Eden Hazard, which saw a red card come out for Rashad Sadygov, whilst a brace from Willian in both halves and a Cesc Fàbregas penalty in the second secure their place in the knock-out stages.
Chelsea doubled their lead 15 minutes later with some great build-up play between Willian and Hazard, with the Brazilian receiving the ball back and stroking it past the on-rushing Ibrahim Sehic, giving the Blues a firm hold on the game. PSG recovered in emphatic style after going a goal down to Celtic in 56 seconds, with the revered front three killing the game off within 35 minutes in Paris. Lovely interplay between Pedro, Willian and Hazard ends in a goal after the former plays a brilliant backheel into the path of Willian who coolly slots home.
Conte was reluctant to single out any one player, despite Willian's decisive performance. That's an excellent team goal. Fabregas takes responsibility and scores to the goalkeeper's right, only the for referee to make him take it again, so he goes for the same corner and gets the same result.
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Chelsea had Willian to thank for making light work of potentially arduous assignment.
73' - GOAL! Qarabag 0-3 Chelsea (Fabregas). Subs: Diniyev 5, Yunuszade n/a, Quintana n/a.
But he was involved in a moment of slight controversy in the second-half when Chelsea were awarded a second penalty after he was pulled back by Qarabag defender Gara Garayev in the box.
Unused subs Caballero, Christensen, Sterling, Drinkwater, Bakayoko.
Hazard has nine goals in his last 10 games for club and country.
Speaking on BT Sport, Chelsea's all-time leading scorer Lampard, who netted 211 goals for the Blues, said: "World class for me is affecting games at Champions League and worldwide level over a period of time and Hazard is certainly in that bracket".