I'm about as far on the introvert scale as you can get without being an actual hermit, and I've always preferred cities. As big as possible. For me, it's more about easy access to goods and services, jobs, and emergency services.
I'll admit that noise is a factor, and I do very much enjoy the times I travel to somewhere more rural because of the dead silence at night, but a city apartment with heavy soundproofing, in a location where people aren't interested in having an active street or apartment-block community (or at least respect privacy), works well enough. The bigger cities have enough anonymity in crowds that there's not much in the way of social interaction expectation on the streets.
The advantage of rural living, I'd imagine, would be the ability to not only have solitude in the house, but also to be able to go for a walk without encountering anyone, and being able to enjoy the outdoors. My city preference may be partially as a result of being a largely indoor type, rather than anything else.