Preheat oven to 400°F. Place the chicken, potatoes, and green beans on a large baking sheet.
Stir the olive oil, lemon juice, garlic together with all of the spices. Drizzle the spice mixture over the meat, potatoes, and vegetables. Use your hands to stir the pieces around a bit and make sure everything is well coated. Be sure to leave the chicken skin-side up.
If your potatoes are bigger than about 1-inch in size, you’ll want to quarter them (instead of simply halving them) to make sure they pick up plenty of flavor from the seasonings.
This recipe can easily be doubled. Simply use two sheet pans. Depending on how your oven cooks, you may want to rotate the pans halfway through the cooking time.