Prepare the chicken drumsticks: Preheat your oven to 400°F (200°C). In a large bowl, toss the chicken drumsticks with olive oil, paprika, garlic powder, salt, and pepper. Place the drumsticks on a baking sheet lined with parchment paper.
Roast the drumsticks: Roast the chicken in the preheated oven for 35-40 minutes, turning halfway through, until the skin is crispy and the chicken is cooked through.
Make the creamy garlic sauce: In a saucepan over medium heat, melt the butter. Add the minced garlic and sauté for 1-2 minutes until fragrant. Stir in the chicken broth and bring to a simmer. Reduce the heat and add the heavy cream, whisking until the sauce thickens slightly, about 3-5 minutes. Season with salt and pepper.
Serve: Drizzle the creamy garlic sauce over the roasted chicken drumsticks. Garnish with freshly chopped parsley and serve hot.