Gabriel Jesus broke the deadlock with a deflected strike in the 53rd minute to hand Thomas Tuchel's side their first defeat of the season in all completions.
'The experience of last season [beating Barcelona] and the atmosphere that Anfield creates, you can't bet against Liverpool. 'They're team that know how to win. They can win ugly, they can pull it back and drag a result back.
City are back at the top of the table, with Liverpool needing to address a two-point deficit in Sunday's Merseyside derby at Everton after Mahrez snuck in his 11th goal of the season 10 minutes into the second half at the Vitality Stadium..
Chelsea claimed their seventh Premier League win of the season when they beat Crystal Palace 2-1 at home last night. Meanwhile, statistics have shown that Petrovic is slowly becoming Chelsea's number-one choice.
And they remain sixth at the end of match day 30 with 57 points - three behind Arsenal who are fourth and one shy of the Red Devils (5th) to complete the top six teams.
Chelsea's Kepa Arrizabalaga has come in on a season-long loan but according to comments attributed to Ancelotti, Los Blancos are complete without Vinicius, Benzema and Courtios.
The 20-year-old may have paid a heavy price for missing most of his pre-season preparation as he went on strike from training at Borussia Dortmund to try and force through his dream move to the Camp Nou.
Courtois, who has had a disappointing debut season at Madrid, was widely criticised for his inability to deal with Schone's looping strike which sealed Ajax's 5-3 aggregate victory.
Zidane is eyeing Lyon full back Ferland Mendy in as competition for Marcelo while Eder Militao will complete his move from Porto during this summer's transfer window.
Iwobi was very influential at his full back position and this led to his fifth of the season since the Spanish coach took over from Arsene Wenger. But Emery has demanded more from the Nigerian international.
James' potential return to the lineup is unknown, although Chelsea will complete September with back-to-back home matches against Aston Villa and Brighton & Hove Albion.