The City chief completed his £27million swoop for the Bosnian international striker from Wolfsburg this week and could be tempted to pitch him straight into action against Mick McCarthy's strugglers on Saturday.
However Dzeko has not played a competitive game since before the German winter break last month when he scored a last-minute equaliser against Hoffenheim, so Mancini is set to try and ease him gently into the Premier League.
City should have David Silva back in contention to start following his two-game absence due to a knee injury, but striker Mario Balotelli and defender Micah Richards are missing with respective knee and back problems.
City can go top of the table for at least 24 hours with a win against Wolves, but Mancini has urged his players to forget that and focus on getting three points.
"We should not think about it," he said. "We should only think about our games.
"The season is very long and we have another 17 matches to play.
"The table could change every three days, so we must focus only on Wolverhampton, nothing else."