01 - Pat the drumsticks thoroughly dry with paper towels. Combine 1 tablespoon of the sweet paprika with the salt and pepper, then rub the seasoning evenly over all surfaces of each drumstick.
02 - Heat the olive oil in a large lidded skillet over medium-high heat until shimmering. Arrange the drumsticks in the pan without crowding and sear until deeply golden brown on all sides, approximately 6 to 8 minutes. Transfer to a plate and set aside.
03 - Reduce the heat to medium. Add the diced onion to the same skillet and cook, stirring occasionally, until softened and translucent, about 3 minutes. Add the minced garlic and stir for 1 additional minute until fragrant.
04 - Stir the remaining sweet paprika and the smoked paprika into the onion mixture. Toast the spices, stirring constantly, for about 30 seconds until they release their aroma.
05 - Pour in the chicken broth, using a wooden spoon to scrape up all the caramelized browned bits from the bottom of the skillet. Bring the liquid to a gentle simmer.
06 - Nestle the seared drumsticks back into the skillet, cover with the lid, and reduce the heat to medium-low. Braise for 20 minutes, turning the drumsticks every 7 minutes so they cook evenly and absorb the sauce.
07 - Remove the lid and stir in the heavy cream. Continue cooking uncovered over medium-low heat for 6 to 8 minutes, stirring 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, spoon the pan sauce generously over the top, and finish with a scattering of chopped fresh parsley. Serve immediately alongside steamed rice, buttery mashed potatoes, or crusty bread.