"I'm worried about my team, I'm worried about the performance, [but] my job is always at risk, so I'm not worried about that", Sarri said.
"I am surprised because at the beginning of the season we played better away than at home. At half-time, I told the lads that if we were able to react, we'd come back stronger than ever".
The setback at the Etihad Stadium was Chelsea's worst result since a 7-0 thrashing at the hands of Nottingham Forest in April 1991. So now we need only to understand the reasons why at the moment it isn't working.
"To scored six against Chelsea and the way we played, we had so much attention". "But I don't know what to expect; people keep asking me what I think about the situation, but I think that's a question which needs to be put to the club".
City beat top-six rivals Chelsea 6-0 to leapfrog above Liverpool in a tricky week when they also beat Arsenal and won away at Everton.
The Reds have forced their way into contention for a first top-flight crown in 29 years.
"It was not easy because Chelsea demanded a lot and we defended deeper, like never before, because they have the quality to find spaces".
"[Sarri] needs time and that depends on the believers, the owners, people in charge". My target is to play my football.
"We started well but we conceded the first goal in a stupid way in the fourth minute and then everything was really very hard because we had to stay in the match but we weren't able to do that".
İlkay Gundogan then scored Manchester City's fourth in the 25th with a strike from outside the box.
It was a performance to send a chill down the spine of anyone with a Liverpool connection and one that emphasised why City are favourites to win the title race. The Merseysiders' game in hand is away to a rejuvenated Manchester United on February 24 - the same day City face Chelsea in the League Cup final.
Pep Guardiola's side were 3-1 winners against Arsenal on Eastlands last weekend before Manchester City eased to a 2-0 win over Everton at Goodison Park on Wednesday night.
Sterling notched his second of the afternoon late on as the Citizens moved above Liverpool courtesy of a much improved goal difference, having played a game more.