Heat the grill to high heat. Brush the zucchini on both sides with oil and season with salt and pepper, to taste. Grill for just about 1 minute per side (until slightly charred and wilted), then remove them to a platter.
Whisk together the Dijon mustard, lemon juice, lemon zest, honey, to taste, and salt and pepper, to taste, and parsley in a small bowl. Slowly, whisk in the olive oil until emulsified.
Drizzle the vinaigrette over the zucchini and let it marinate for 15 minutes at room temperature. Top with shaved cheese, pine nuts, parsley, and mint leaves.