Preheat oven to 375° F. Grease a large baking sheet with non-stick spray.
In a large bowl combine diced baby red potatoes and trimmed green beans. Dump half of the ranch seasoning into the bowl. Drizzle with 2 Tablespoon olive oil. Gently toss to coat veggies. Lay coated veggies onto the prepared baking sheet in one even layer.
Add the chicken breasts to the bowl the veggies were in. Dump the remaining packet of ranch seasoning and olive oil over chicken. Gently toss to coat chicken. Lay chicken breasts over veggies in pan. Cover pan with foil.
Bake 45 to 50 minutes, or until chicken is cooked through and veggies are tender.
Remove from oven and let stand 5 minutes before serving.