Preheat oven to 450°F and place oven rack in the center.
Line a baking sheet with aluminum foil and add chicken to one side.
Mix butter, 1 tsp. salt, pepper, half of garlic, 1 Tbsp. rosemary and lemon zest in a small bowl. Brush onto chicken.
In a separate medium bowl, combine 2 Tbsp. olive oil, ¼ tsp. salt, remaining garlic and remaining rosemary. Add potatoes and toss to coat. add to other side of baking sheet.
Bake 20 minutes. Remove from oven and toss green beans with potatoes. Bake additional 10 minutes, or until vegetables are tender. (Note: Once chicken reaches an internal temperature of 165°F, remove, cover and set aside.)
Shred chicken and serve over naan with vegetables on the side.