I will note that I have numerous Italian friends in Milan with whom I often eat at the very local pizza/burger (yes)/Chinese place, because it's really close to their home and not that expensive and the places are full of Italians (I cannot recall hearing English spoken in any of them). Yes we sometimes dine out at nice places, but many Italians eat within a few hundred meters of their homes at places that serve simple food.
[See here for the 10 best burgers in Milan:
http://www.dissapore.com/grande-noti...migliori-2015/ ]