The giant forward has attracted the attention of most major clubs in Europe but it seems Manchester City are closing in on Dzeko, having agreed a fee with Wolfsburg that is believed to be around £27million.
Personal terms have still to be sorted, as has a work permit, although that will be automatically granted as the 24-year-old has won 31 caps since making his international debut in 2007.
And with no Premier League game until January 15 after the trip to Arsenal, City see no requirement to rush the transfer through.
But when the player - top scorer in the Bundesliga last season - does eventually arrive at Eastlands, Mancini knows he will be getting a high-quality performer.
"We have agreed a fee with Wolfsburg and I am confident he will come but we must wait," said the City chief. "We have an important game, so we must keep our focus on it."