Carlos Tevez, Mario Balotelli and Edin Dzeko all started the 3-0 win over Aris that booked a Europa League last-16 clash with Dynamo Kiev.
Manchester City 3 Aris Salonika 0: Read Ian Ladyman's match report Big hit: Edin Dzeko celebrates scoring the first goal for City
With David Silva involved as well, it provided a fearsome forward line the Greeks were incapable of resisting.
As City took their tally to 19 goals in their last five home games, Dzeko took the honours with a double inside the first 12 minutes.
However, just because it worked, Mancini does not think he can go for broke all the time.
'I thought we did well and in the first half I was very pleased,' said the Italian.
'The problem comes when we don't have the ball. If we don't close down every situation, it could be difficult for us.
'We can play this formation but not often, unless we improve.'
So close: Balotelli hits the post
Dzeko's efforts doubled his previous tally since a ?27million move from Wolfsburg last month.
The Bosnian should have had a hat-trick too after being sent through by Silva in the final minutes of the first half.
However, the chance went begging when Michail Sifakis robbed him as Dzeko attempted to go round the Aris goalkeeper, and it was left to Yaya Toure to complete the scoring with a deflected effort 15 minutes from time.
It means City now travel to Ukraine on March 10 for the first leg of a tie featuring legendary striker Andriy Shevchenko.
'They have a lot of experience,' said Mancini.
Colourful: Aris Salonika fans
'Dynamo have always played in the Champions League and we know this will be a very hard game because they are a good team.
'There is no point looking any further forward than that because there are still a lot of big teams left in this competition.'
Aris coach Ioannis Michalitsios was refreshingly honest as he assessed his side's downfall, even though the Greek outfit had gone into the tie level after the first leg on home soil.
'We lost to a better team,' he said.
'We found ourselves two down in the first few minutes, which obviously knocked us back. Given what happened, the eventual outcome could have been a lot worse.'
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Explore more:People: Edin Dzeko, Carlos Tevez, Roberto Mancini, David Silva, Andriy Shevchenko, Mario Balotelli Places: Manchester