City took a 4-0 lead inside the first 30 minutes during Sunday’s Premier League clash.
It comes with Blues boss Maurizio Sarri already under pressure after a number of poor results.
And City fans think Chelsea would be better getting Jose Mourinho back for a third spell as manager.
Mourinho was sacked by Manchester United just before Christmas, and City fans were heard singing “You need Mourinho” as Pep Guardiola’s team tore Chelsea apart.
The Portuguese was shown the door at Old Trafford after a disappointing first half of the season.
United were the second club he had managed in England, having had two successful spells with Chelsea.
And though Mourinho won the FA Cup, Europa League and EFL Cup with United, he struggled this season.
Sarri became Blues boss in the summer, taking over from Antonio Conte.
But the former Napoli manager is already under pressure at Stamford Bridge.