In a large pot, sauté carrots, celery, and onions in butter until softened.
Add minced garlic and cook for another minute.
Sprinkle flour over the vegetables and cook for 1-2 minutes, stirring constantly.
Slowly pour in chicken broth, whisking to prevent lumps.
Add chicken, herbs, frozen peas, and seasonings, and bring to a gentle boil.
Add noodles, reduce to a simmer, and cook until tender.
Stir in cream and adjust seasoning to taste.
Serve hot, garnished with fresh parsley.