Pep Guardiola's facet recovered from the surprise of conceding a John Stones very own purpose after Phil Foden's early opener on the Etihad Stadium.
Riyad Mahrez positioned City returned in front within the 2nd half of and Raheem Sterling got here off the bench to cease his goal drought before Gabriel Jesus capped the rout.
City sit down pinnacle of Group A, one point above Paris Saint Germain, after their 1/3 win in four fits within the competition.
Last season's Champions League runners-up are 5 factors clean of third-placed Brugge and will reach the knockout ranges with one point from their last games towards PSG and Leipzig.
Returning to winning ways became the precise preparation for Saturday's derby in opposition to Manchester United at Old Trafford.
After a sturdy start to the season, City had suffered their worst length of the campaign.
Saturday's surprise domestic defeat in opposition to Crystal Palace got here warm on the heels of a penalty shoot-out loss at West Ham that ended their 4-12 months reign as League Cup holders.
Guardiola spoke back to those setbacks by using defiantly claiming City had been playing at an "wonderful" degree, labelling their present day form a few of the "fine moments" of his time at the membership.
Having thrashed Brugge five-1 in Belgium remaining month, City yet again picked on Philippe Clement's crew, despite the fact that the victory wasn't without some scares.
Guardiola had defined Brugge's visit as "a whole lot extra crucial" than the Manchester derby and his players got the message.