Fresh from their Carabao Cup triumph at Wembley, holders City moved into the final eight of the FA Cup as Sergio Aguero’s 23rd goal of the season saw off their Championship opponents at Hillsborough.
Up till the Argentine found the net with a robust left-foot finish, City had been pissed off by a stubborn Wednesday protective performance.
Nicolas Otamendi and Benjamin Mendy both hit the bar when the tie was goalless but City, who dominated possession, had to wait forty eight minutes before they managed a shot on target.
Wednesday have persevered a wretched run of form and though City keeper Claudio Bravo did not have a save to make, they at least ensured they were not embarrassed.
Aguero, who scored in the 2-1 Carabao Cup closing win over Aston Villa on Sunday, has now scored 20 FA Cup goals in 22 ties since joining City in 2011.