The Blues went a point clear at the top of the Premier League after coming from behind to win for the first time this season, but Mancini says his side cannot afford to let teams back into games as easily as they did against Mick McCarthy’s side.
“I wasn’t happy with the first half hour, but we improved after that and built up a good lead,” he said.
“What disappointed me was conceding two goals - two stupid goals - in ten minutes to let Wolves back in the game and we can’t do that.
I’m happy we have gone top – whether it’s for one hour or one day it doesn’t matter – what is important is that we won this difficult game
...Roberto Mancini.
A David Jones own goal, two from skipper Carlos Tevez and a Yaya Toure strike had given City a commanding 4-1 lead with just over an hour gone, but the visitors rallied late on, scoring twice to produce a nail-biting last few minutes.
“We can improve because although we played good football in the second half, we had some problems at the back and shouldn’t concede three goals at home,” said Mancini.
“So I was happy from 30 minutes onwards - and until the last ten minutes.”
Mancini was also pleased with Edin Dzeko’s debut, with the Bosnian showing some nice touches and vision in an impressive first game for City.
“He played very well for his first game, especially as he has only been with us a week and only recently returned from a winter break,” he said.
“He will get better as he gets used to his new team-mates and I think he will do well alongside Carlos and Mario Balotelli.”