The Blues moved just three points off top spot with their weekend win over the Trotters at Eastlands.
Take Zat: Mario Balotelli goes down after a challenge from Bolton defender Knight
Carlos Tevez's early goal did the damage, although the Argentinian's petulant reaction to being substituted late in the game was an even bigger discussion point.
Davies is not convinced that gave off the correct signals and he was even less impressed at so many of the City players collapsing in mock agony during a keenly-fought duel.
'When there is not much contact and they go down screaming, it is embarrassing from a man's point of view,' Davies told the Manchester Evening News.
Embarrassing: Kevin Davies hit out at the City players following Bolton's defeat
'There are a lot of European players in their squad and I think it is something they are taught on the continent.
'It is frustrating and embarrassing at times. However, it is part of our game unfortunately.'
Davies ultimately decided to apologise for the remarks he delivered about City on his Twitter account, claiming it was not 'my place to comment'.
However, he added: 'If you have a problem it is best to sort out behind closed doors rather than make an issue in front of millions,' he said of Tevez's angry response to being replaced by James Milner a minute from time.
Enlarge Angry: Carlos Tevez exchanges words with Roberto Mancini after being substituted
'Seeing Tevez's reaction to being subbed assures me there is (sic) problems within at City, great players individually but as a team??'
Joleon Lescott is adamant however, that the Blues will not become mired in off-field problems, dismissing Friday's punch-up between Mario Balotelli and Jerome Boateng at a stroke.
'They are pals,' said the England defender. 'It is just the way they wanted to win in training.
'I can't remember the way it started and obviously it wasn't going someone's way. 'They were talking straight afterwards. They sit together at lunch and dinner so there is no ill-feeling between the two of them.
'That kind of thing has happened at every club I have been at. It is no surprise to anyone. 'But the media tend to make it bigger than it is and the way things are at this club at the moment, people perceive things that are not happening.'
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