In a large pot, bring salted water to a rolling boil. Add the cheese tortellini, cooking them according to the package instructions until they reach an al dente texture (typically around 3-5 minutes). In the final 3 minutes of cooking, gently add the broccoli florets to the pot. Once cooked, drain both the tortellini and broccoli, and set them aside in a large serving bowl.
In a large skillet, warm the olive oil over medium heat. Once the oil is hot, add the minced garlic. Sauté for approximately 1-2 minutes, stirring frequently, until the garlic is fragrant but not browned.
Incorporate the shredded cooked chicken into the skillet with the garlic. Cook for an additional 2-3 minutes, stirring occasionally, until the chicken is heated through and well mixed with the garlic oil.
Gradually pour in the heavy cream while stirring continuously. Allow the mixture to come to a gentle simmer (avoid boiling) and let it cook for 3-4 minutes, which will help thicken the sauce slightly.
Add the grated Parmesan cheese and Italian seasoning to the sauce, stirring until the cheese is fully melted and integrated into the creamy mixture, creating a luscious sauce.
Adjust the flavor by adding salt and freshly ground black pepper to taste, mixing thoroughly to distribute the seasoning evenly.
Carefully toss the cooked tortellini and broccoli with the creamy sauce in the skillet, ensuring everything is evenly coated.
Remove the skillet from heat and allow the dish to sit for 1 minute to let the flavors meld before serving.
Notes
Serve in wide, shallow bowls and garnish with parsley and extra Parmesan cheese.