The former Ajax winger is yet to put together a consistent run of form for his new side under Frank Lampard, with the ex-England midfielder now under intense pressure due to recent results.
The comprehensive loss at home to Pep Guardiola’s side came during an electric 16-minute spell in which they scored three goals without response.
Ziyech has been singled out for criticism for Kevin De Bruyne’s strike after Ilkay Gundogan and Phil Foden had given City a comfortable lead after 21 minutes.
As Chelsea possession transitioned into a counter attack for the away team, Ziyech could be seen pausing with one hand on the ground as his team-mates tracked back.
Graeme Souness was aware of the apparent slip in the build-up to the goal, and questioned the attitude of the 27-year-old in what was only his seventh Premier League appearance for the club.
While on Sky Sports , Souness said: "Big players don't act like this... They don't stand and watch the game like this. 'Not my problem, someone else's problem.'
"What Ziyech was guilty of for the third goal was just downright 'I'm not bothered. I'm not showing any real desire to deal with the basics, which is track back.'
"You see him play the free-kick, you see the ball come out. Now watch him, goes forward, now he pretends he's slipped up. What does that say about a player?
"I'm not saying by him sprinting back it prevents the goal, but just never, never know a goal might take a ricochet and you can be there to deal with it.
"That's happened in training, he must have done that in training. As a manager, you've got to sort it out."
Although Lampard was critical of his players for their recent defeat against Arsenal, but he didn’t go so far this weekend.
"Any rebuild takes pain - pain behind the scenes and on the pitch," Lampard said.
"This is a difficult period and I understand the reasons why. When you look around the team there is a lot of youth, a lot of new players who are trying to come in and settle."