Manchester City, Wolves and Stoke all reached the FA Cup fourth round after replay wins over Leicester, Doncaster and Cardiff respectively.
Eriksson's Leicester put up a brave fight but were undone by two goals in 90 seconds from Patrick Vieira and Adam Johnson towards the end of the first half that put Roberto Mancini's men in full control.
Carlos Tevez had put City ahead early but the Foxes responded with Paul Gallagher equalising from the spot and Eriksson's confident side briefly looked capable of causing an upset.