Heat olive oil in a medium skillet over medium-high heat. Sauté yellow and red bell peppers for 2 minutes; set aside. Roll out pizza dough to a 15-inch round on a lightly floured surface; transfer to a baking pan and top with mozzarella cheese, fontina cheese, and sautéed peppers. Bake at 500° until crust is golden brown (about 12 minutes). Toss chicken with barbecue sauce. Before serving, top pizza with chicken mixture and sprinkle with salt, pepper, and parsley.