Make the meatballs. In a large bowl, combine ground chicken, breadcrumbs, egg, salt, garlic powder, paprika, and black pepper. Mix until well combined. Using your hands, form small, bite-sized meatballs.
Lightly coat the meatballs in all-purpose flour, shaking off any excess. Heat vegetable oil in a large skillet over medium heat. Sauté the meatballs until lightly golden on all sides. They don't need to be fully cooked at this point. Set aside.
In a separate large skillet or sauté pan, melt butter over medium heat. Add sliced leek and grated carrot. Cook for about 5 minutes, stirring occasionally, until softened. Add minced garlic and cook for another 30 seconds.
Pour in chicken stock and bring to a gentle simmer. Add the sautéed meatballs, cover, and cook for 7–10 minutes.
In a small bowl, whisk together cream and 1 tablespoon of flour until smooth. Slowly stir the mixture into the simmering sauce. Cook for another 2–3 minutes, stirring gently, until the sauce thickens.
Stir in chopped fresh dill and season with salt and pepper to taste. Serve warm with mashed potatoes, rice, or your favorite side dish.