Is that a problem for Cloudflare or with Italy? In the end, can Italy break Internet or can Internet cut off Italy? It is a theoretical question, I wonder how much control countries can have over a non-country level concept as Internet. The jurisdiction question is very much the point, does Cloudflare or Google provide a paid DNS service to Italian clients and the contract is regulated by Italian laws or it is a universal and free DNS service that Italy cannot regulate?
Italy already blocked Cloudflare once. The Mafia (seriously, it's thought to run a lot of these legal sports things) is a more powerful force in Italy than working internet.