While Saturday’s opponents the Netherlands have never reached this stage before, as reigning European champions they will be favourites to advance.
The Oranje eliminated Japan in the last 16 after pipping Canada to top Group E, but if Italy can upset the odds (kick-off 14:00 BST) the impact could be a lasting one back home.
“What’s great about this is that we’re almost able to convey this football of change – change in the sense it’s different to the football we’re used to seeing,” said Bertolini.
“It’s used to certain values: sportsmanship. These values can lead to a cultural change which is ongoing in Italy.
“Cultural changes are always very slow to come about. However, with this team and what they’re producing on the pitch, they’re able to break down some of those prejudices and barriers.
“They are enacting change and giving absolutely everything in every match we’re involved in.”
A boisterous, bouncing waiting crowd of Italy fans greeted the Azzurri’s coach as the squad arrived at their hotel before Saturday’s last-eight tie in Valenciennes, with some players visibly moved by the reception they received.
AC MIlan’s Valentina Giacinti added: “We can feel the support very strongly. We’re trying to make people proud.”