There are a couple of shopping centers in Palermo, but they are out of the city center and to be honest with you, here you still do the best shopping walking along the main streets!
Here a couple of suggestions.
The majority of brand shops are in via Ruggero Settimo, via Maqueda and via Liberta' (where you find famous Italian and International brands shops, such as Prada or Gucci, Vuitton, and Hermes) and around via Liberta' (via Mazzini, via Quintino Sella, via Gaetano Daita, via Isidoro La Lumia). This district also hosts a lot of small art galleries. Some shops in particular (fashion, design, concept stores):
Also interesting is via Paternostro and surroundings, in the historical center. Here, recently, lots of small handcraft shops gave birth to a new district of recycling design and vintage clothing.
Our homes in Palermo. Our experiences in Palermo.