Parco Culturale del Gattopardo is a lovely spot to take a break. Have a picnic, toss a ball around or just lie on the grass and close your eyes for a while.
This recreation and green space in Palermo Historical Center comes recommended by fellow travelers, so make sure it features on your must-see list. Don't think that's all there is to do here, though. There are plenty more spots waiting for you to enjoy after Parco Culturale del Gattopardo. Teatro Massimo, Palermo Cathedral, and Palace of the Normans are close by.