In a large pot, heat the olive oil over medium heat. Add the diced onion and cook until it becomes translucent, about 5 minutes.
Stir in the minced garlic and cook for an additional minute until fragrant.
Add the sliced carrots and celery to the pot, cooking for 5-7 minutes until they start to soften.
Sprinkle in the dried thyme and rosemary, mixing well to combine the flavors.
Pour in the chicken broth and bring the mixture to a boil.
Once boiling, reduce the heat to a simmer and let it cook for about 15 minutes, allowing the vegetables to become tender.
Stir in the shredded chicken and egg noodles, cooking for another 8-10 minutes, or until the noodles are al dente.
Season the soup with salt and pepper to taste.
Remove from heat and let the soup sit for a few minutes before serving.
Garnish with fresh parsley if desired.