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Set oven to 400°F (200°C). Line a large baking sheet with parchment paper or lightly grease it.
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Add halved potatoes, carrots, and green beans to a large bowl. Drizzle with olive oil and toss to coat.
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Sprinkle in garlic, Italian seasoning, smoked paprika, salt, and pepper. Toss again until evenly coated.
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Spread the veggies in a single layer on the baking sheet, leaving space between them for even roasting.
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Bake for 25–30 minutes, flipping halfway through, until golden, tender, and lightly crisp on the edges.
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Switch to broil for 2–3 minutes for deeper browning. Transfer to a serving dish, adjust seasoning if needed, and garnish with fresh herbs.
