Preheat oven to 400 degrees.
Wash broccoli and scrub carrots. Cut carrots into 1/2-inch pieces. Chop broccoli into large florets.
Trim any excess fat from chicken thighs.
In a small bowl, combine Italian seasoning, salt, garlic powder, onion powder and black pepper. Set aside.
Line a large baking sheet with foil. Spray lightly with cooking spray. Place chicken on prepared sheet and brush with one tablespoon of the olive oil. Reserve remaining oil.
Sprinkle chicken with about a tablespoon of the seasoning mixture.
In a large bowl, combine vegetables, reserved seasoning and reserved oil. Stir well to coat completely.
Arrange vegetables around chicken on baking sheet. Bake for 20-25 minutes or until chicken reaches an internal temperature of 165 degrees.