01 - Mound the flour on a clean work surface and create a deep well in the center. Crack the eggs into the well and add the salt. Using a fork, gently whisk the eggs and gradually incorporate the flour from the inner edges of the well until a shaggy dough forms. Knead the dough by hand for 7 to 8 minutes until it is smooth and elastic. Wrap tightly in plastic wrap and let it rest at room temperature for 20 minutes.
02 - In a medium mixing bowl, combine the cooked chicken, ricotta cheese, grated Parmesan, minced garlic, chopped parsley, and ground nutmeg. Season generously with salt and pepper. Mix thoroughly until all ingredients are evenly distributed.
03 - Cut the rested dough into four equal sections. Keeping the remaining dough covered, roll one section out thinly to approximately 1/16-inch thickness. Cut the sheet into 2-inch squares or circles. Place a small dollop of the chicken filling in the center of each piece. Fold the dough over to form a triangle or half-moon, pressing firmly to seal the edges. Bring the two corners together around your finger and pinch to secure the classic tortellini shape.
04 - Bring a large pot of salted water to a rolling boil. Carefully add the tortellini in batches to avoid overcrowding. Cook for 3 to 4 minutes, or until they float to the surface and are tender. Remove gently with a slotted spoon and set aside, reserving a small amount of pasta water.
05 - While the pasta cooks, melt the unsalted butter in a saucepan over medium heat. Pour in the heavy cream and bring to a gentle simmer. Let cook for 2 to 3 minutes until slightly thickened. Remove from heat and whisk in the Parmesan cheese until melted and smooth. Season with freshly ground black pepper to taste.
06 - Transfer the cooked tortellini directly into the saucepan with the cream sauce. Gently toss to coat the pasta evenly, adding a splash of pasta water if needed to loosen the sauce. Serve immediately in warmed bowls, garnished with extra chopped parsley and a sprinkle of Parmesan cheese.