Heat olive oil and butter in a large pot. Sauté diced onion, sliced celery, and carrots for 8-10 minutes until softened.
Add minced garlic and cook for 1 minute until fragrant.
Pour in chicken broth, add thyme and bay leaves, and bring to a simmer.
Add chicken breasts and simmer for 25-30 minutes until cooked through. Remove, shred, and return to the pot.
Season with salt and pepper, bring to a boil, add noodles, and cook until tender. Discard thyme and bay leaves, garnish with parsley, and serve with lemon wedges.
Notes
For a richer flavor, use homemade broth and fresh herbs.