I had a great stay here for a week. Anastasia is a very kind, hospitable host and will help you a lot with information on getting around the city.
The room was spacious with a double bed and a fan (which you'll need in the summer for sure). Also, the apartment is located perfectly; just under a 10 minute walk to the central station, and close to Palermo's historical centre and the main shopping street.
I would definitely recommend staying here!