Light a grill. Brush the zucchini and peaches with half of the oil and season with salt and pepper. Grill them over moderate heat until slightly softened, 4 minutes. Cut the peaches into wedges. Stack the zucchini and thinly slice lengthwise into ribbons.
In a bowl, toss the zucchini, parsley and mint with the remaining oil; season with salt and pepper. Transfer to a platter and top with the peaches and chopped nuts. Drizzle with the Macadamia Cream and serve.