Dzeko's exploits for the Wolves earned him a big-money move to Manchester City in January 2011, and after winning two Premier League titles he eventually ended up in the Italian capital.
The Bosnia-Herzegovina international has rediscovered his form with the Giallorossi after a patchy start, scoring 29 goals in 37 Serie A outings as they finished runners-up to champions Juventus this past season.
Dzeko was attending an event to celebrate the Lower Saxony outfit's 20-year stay in the German top flight, after they avoided relegation by beating Eintracht Braunschweig in the play-offs, and he revealed a desire to play for his former employers again one day.
"I'm only 31 and feel better than ever," he said. "I have three years of my contract left in Rome and I feel good there. But I hope I'll come back to Wolfsburg as a player again.
"And I owe Wolfsburg everything. Without them, I would not have had the chance to play for Manchester City or Roma."