Pep Guardiola's league leaders extend their advantage at the top after Raheem Sterling's goal after 38 seconds.
Swansea have named Carlos Carvalhal as the successor to Paul Clement, just four days after the 52-year-old Portuguese left Championship side Sheffield Wednesday by mutual consent.
Roberto Firmino scores twice as the Reds stay above Tottenham Hotspur in the race for the Champions League.
Javier Hernandez eventually moved to West Ham United on a permanent transfer, while Tammy Abraham joined Swansea City on loan from Chelsea.
Swansea will be without Wilfried Bony for the Premier League games against Crystal Palace and Liverpool due to a hamstring injury.
Bottom of the table Swansea sacked Paul Clement on Wednesday after he won just three games all season.
Tony Pulis has emerged as the favourite to replace Paul Clement at Swansea City with the club promising an update on their search within 24 hours.
Antonio Conte has no plans to contest an FA charge of misconduct after being sent to the stands during Chelsea's 1-0 win over Swansea and will pay his £8,000 fine.
Goal-shy Swansea will look to strengthen their forward line during the January transfer window, although Paul Clement claims that Liverpool striker Dominic Solanke is not a target.
Antonio Conte lost his cool in the first half between Chelsea and Swansea City for what he percieved as time wasting tactics from Paul Clement's side.
Conte was sent to the stands by referee Neil Swarbrick for bellowing at fourth official Lee Mason after growing frustrated with Swansea's time-wasting.
Chelsea keep their rich vein of form going with a solid if not spectacular performance against the Swans.
David Luiz will miss Chelsea's clash with Swansea on Wednesday due to a knee injury and is set to be assessed, with Antonio Conte unsure exactly how long he might be sidelined for.
Abraham cannot play against his parent club while Fernandez has returned to Argentina following the death of his father.
Eder has so far scored four goals for Portugal. One of them came in the Euro 2016 final against France.
Tammy Abraham says he is fully focused on his current loan spell at Swansea, but aims to win a regular place in Chelsea's first-team squad one day.
Arsenal left-back Sead Kolasinac suffered a recurrence of a hip injury during the Gunners' 2-1 victory over Swansea City on Saturday (28 October).
Sead Kolasinac and Aaron Ramsey both score as Arsenal recover from a first-half deficit to beat Paul Clement's Swansea at the Emirates Stadium.
The Gunners last won the title in 2003-04 when they went the entire season unbeaten but recent years have seen the competition pass Wenger by.
Swansea City will be without four players for the Premier League trip to Arsenal with Wilfried Bony and Renato Sanches still out with muscle injuries.
Nketiah, 18, spared the Gunners' blushes by coming of the bench to net a brace in their 2-1 Carabao Cup victory over Norwich in midweek.
Martin Olsson could be an injury doubt for Swansea's trip to Arsenal after picking up what appeared to be a hamstring injury against Manchester United.