
Preheat oven to 425°F (218°C).
Line a rimmed baking sheet with parchment paper or a baking mat.
Place the broccoli florets and chopped carrots in a large bowl, drizzle with olive oil, and sprinkle garlic, Italian seasoning, salt, black pepper, and red pepper flakes. Toss to coat well.
Spread in an even layer on the prepared baking sheet. Bake until tender and slightly browned (20 minutes), stirring once halfway through.