Gullit was shocked by the lack of passion shown by Roberto Mancini's players.
Gullit, who won the European Cup with Milan in 1989, said: "The managers takes the responsibility when you win and when you lose.
"If the intention was to get out of playing in the Europa League then City did a great job. If their intention was to win to get in to the Europa League then they made a fool of themselves. It was dreadful. There was no team at all.
"I didn't see anybody getting mad or angry or even looking like they wanted to do it. It was such a bad performance. Even though they didn't want to play in the Europa League, at least they could have made an effort. At least do something.
"They bought a lot of players for their name. I don't think they bought players for other reasons. I don't see the reason they bought Maicon. Maybe someone can tell me that. They had some good players and they sold them.
"Mancini said after one defeat this season that he knew what the problem was and he would fix it. That's what he said. I have not seen that he has fixed it. I just see them playing worse and worse. There are lots of things that don't bode well in this team. If they don't win on Sunday then they have real problems.
"When things are going wrong it's the ones that don't play that cause the problems. That is the danger of what's happening to Man City."