Basically, the most interesting restaurants, bars and pizzerias in Palermo are in the Old Town Center, known as Borgo Vecchio. There are other very nice places outside this area, but I recommend exploring this region that has a huge historic and cultural richness.
This is a very rich neighborhood, historically speaking. This is also where the beautiful Palazzo Reale is. The street market of which I speak in another article, Ballarò, is also located here, surrounded by old buildings, palaces and baroque churches. It's kind of decaying, because many buildings and constructions are so abandoned. Despite the fact that immigration is growing in this neighborhood, it is said that there is an attempt to revitalize it.