Sergio Aguero scored twice while Raheem Sterling and Ilkay Gundogan also found the net as the visitors sank without a trace.
Chelsea on the other hand slip to sixth with the scale of the defeat putting Sarri's future in doubt. Kevin De Bruyne released Bernardo Silva down the right with a cleverly-taken free-kick and the Portuguese cut back for Sterling to smash home.
"Aguero is just clever".
Aguero had a simple task to make it 3-0 six minutes later when he pounced on Ross Barkley's slack header towards his own goal.
Puel is no longer the favourite to be the next manager sacked in the Premier League, with the 6-0 trouncing of Chelsea taking Maurizio Sarri to the no.1 spot - as per Oddschecker - in the race to be shown the exit door.
The former Leicester midfielder has proven himself as one of the best defensive midfielders in the world but under Sarri has been used in a more advanced role because Jorginho, who arrived from Napoli in the summer, is a key cog in the manager's fast-paced possession-based system, sometimes known as "Sarrismo".
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Wednesday and most of Thursday are quiet again but another winter storm is possible Thursday night and into Friday . Jack Sillin, of the weather.us blog, outlined exactly how much snow Seattle may expect to see in the next week.
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It will be very positive and you know we have a number of inequities in this country right now and in Virginia. The poll also found that 11 percent of Virginia residents have either worn blackface or known someone who has.
Gallery: Rampant City hit Chelsea for six
Pep said: "Top of the league, we have to wait to see when Liverpool go to Old Trafford as we have played one more game". Sergio Aguero was today's hat-trick hero, equaling Alan Shearer's all-time record of 11 Premier League hat-tricks.
But, speaking to the press afterwards, as quoted by the Evening Standard, the 60-year-old was unbending in his belief in his style of play, though was bullish in admitting the current footballing fare was not close to his enduring philosophy.
City now switch their attention to knockout football with games against Newport in the FA Cup, Schalke in the Champions League and Chelsea again in the Carabao Cup final before they are next in league action. "Now we are playing better at home than away". We started well but after four minutes we conceded a goal in a stupid way.
"My feeling is it is going to finish in the last games".
Puel has reportedly lost the support of several influential players, including England striker Vardy, who was left on the bench for the first 60 minutes before coming on to miss a penalty with his first touch. "I am anxious about my team", Sarri told a news conference.
"At that moment we had to only stay in the match and we were not able to stay in the match because we made a lot of mistakes against the wrong opponents".