Heat 1 tablespoon olive oil in a large pot over medium heat.
Sauté diced onion, carrots, celery, and minced garlic until softened.
Add cooked shredded chicken, chicken broth, Italian seasoning, salt, and black pepper. Bring to a gentle boil.
Stir in the cheese tortellini and cook according to the package instructions until tender.
Reduce the heat and mix in the heavy cream and grated Parmesan cheese.
Add fresh spinach and cook for 2–3 minutes until wilted.
Taste and adjust the seasoning, then serve hot with extra Parmesan and fresh parsley.