Cook the Tortellini: Bring a large pot of salted water to a boil. Add the tortellini and cook according to package instructions until they float to the top. Drain and set aside.
Prepare the Chicken: While the tortellini is cooking, season the chicken breasts with salt, pepper, and Italian seasoning.
Sear the Chicken: In a large skillet, heat 2 tablespoons of olive oil over medium heat. Add the seasoned chicken breasts and cook for about 6-7 minutes on each side, or until they are cooked through and golden brown. Remove from the skillet and let rest for a few minutes before slicing into strips.
Make the Sauce: In the same skillet, add the remaining 1 tablespoon of olive oil and sauté the minced garlic for about 1 minute until fragrant, being careful not to burn it.
Add Cream and Cheese: Lower the heat and pour in the heavy cream, stirring constantly. Once the cream is heated through, gradually add the grated Parmesan cheese, stirring until melted and smooth.
Combine: Add the cooked tortellini to the skillet, tossing to coat in the creamy Parmesan sauce. Gently fold in the sliced chicken, allowing everything to heat through. Season with additional salt, pepper, and red pepper flakes if desired.
Serve: Divide the Garlic Parmesan Chicken Tortellini among plates, garnishing with fresh parsley on top.