Combine turkey breast cutlets and italian dressing in a container. Cover and place in the refrigerator for at least an hour to marinade.
Preheat the grill to high heat.
Prep vegetables. Add to either grill basket or aluminum foil packet. Drizzle olive oil to moisten the vegetables, then sprinkle the Italian seasoning over the top.
Grill over high heat, covered, for about 12 minutes. Toss vegetables with tongs after about 6 minutes.
Remove vegetables from grill. Add turkey breast and grill directly over high heat for about 2 minutes per side, to 165 degrees F.