01 - Pat the chicken drumsticks thoroughly dry with paper towels. Combine the kosher salt, black pepper, and 1 tablespoon of sweet paprika in a small bowl, then rub the seasoning mixture evenly over all surfaces of each drumstick.
02 - Heat the olive oil in a large lidded skillet over medium-high heat until it shimmers. Arrange the drumsticks in the pan without crowding and sear for 6 to 8 minutes, turning every 2 minutes, until deeply golden brown on all sides. Transfer the drumsticks to a plate and set aside.
03 - Reduce the heat to medium. Add the diced onion to the same skillet and sauté for about 3 minutes, stirring occasionally, until softened and translucent. Add the minced garlic and cook for 1 additional minute until fragrant.
04 - Stir the remaining 1 tablespoon of sweet paprika and the smoked paprika into the onion mixture. Toast the spices for 30 seconds, stirring constantly, until deeply aromatic and evenly coating the vegetables.
05 - Pour the chicken broth into the skillet, using a wooden spoon to scrape up all the caramelized browned bits from the bottom of the pan. Bring the liquid to a gentle simmer.
06 - Return the seared drumsticks and any accumulated juices back to the skillet. Cover with the lid, reduce the heat to medium-low, and simmer for 20 minutes, turning the drumsticks every 7 minutes to ensure even cooking.
07 - Remove the lid and pour the heavy cream into the skillet, stirring gently to incorporate. Continue cooking uncovered for 6 to 8 minutes, basting the drumsticks occasionally, until the sauce has thickened enough to coat the back of a spoon and the chicken registers 165°F internally.
08 - Transfer the drumsticks to a warm serving platter and spoon the creamy paprika sauce generously over the top. Sprinkle with the chopped fresh parsley and serve immediately alongside steamed rice, buttery mashed potatoes, or crusty bread.