Place the beets on a foil lined baking sheet. Drizzle with olive oil, season with salt and pepper. Bake the beets until tender, about 15 - 20 minutes. Set aside to cool.
Generously season both sides of the chicken with salt and pepper.
Grill the chicken on both sides to an internal temperature of 160 degrees using a thermometer. Once cooked set on a cutting board to rest for 5 minutes before slicing.
In the meantime, whisk all of the ingredients for the dressing in a bowl. Season with salt and pepper to taste. Adjust any of the ingredients if necessary.
Lay the cooled beets on the arugula. Top with onion, chicken, goat cheese, peaches, and pistachios.
Dress the salad before serving with crusty bread on the side.
Notes
Pro tips: Butterfly the chicken: Lay the breasts down on a cutting board, using a sharp knife parallel to the cutting board slice the breasts through the middle (carefully) all the way in half.