Pat the chicken drumsticks dry with paper towels. Season generously with salt, pepper, and Hungarian sweet paprika.
Peel the sweet potatoes and chop them into roughly 1-inch pieces. Toss with olive oil, salt, and minced garlic.
Line a baking sheet with parchment paper. Arrange the seasoned sweet potato pieces in a single layer on the baking sheet.
Nestle the chicken drumsticks among the sweet potatoes, and tuck rosemary sprigs around them for added flavor.
Bake in a preheated oven at 400°F (200°C) for approximately 40-45 minutes, or until the chicken skin is golden brown and the meat is cooked through.
Serve the roasted chicken drumsticks hot with the sweet potatoes, accompanied by a fresh salad or steamed vegetables.
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