In a large pot or Dutch oven, heat 1 tablespoon of olive oil over medium heat.
Add the diced onion and sauté for about 3-4 minutes until translucent. Add the minced garlic and sauté for an additional 30 seconds until fragrant.
Add the sliced carrots and chopped celery, cooking for another 3-4 minutes.
Add the boneless, skinless chicken breasts to the pot. Pour in the chicken broth. Stir in the dried thyme, dried parsley, and black pepper.
Bring the soup to a boil, then reduce to a simmer. Cover and let it cook for about 15-20 minutes until the chicken is fully cooked.
Remove the chicken from the pot and shred it using two forks. Return the shredded chicken to the pot.
Stir in the egg noodles and cook for an additional 7-8 minutes until the noodles are tender.
Lower the heat and add 1 cup of cream cheese. Stir until fully melted and incorporated into the soup.
Add the frozen peas, adjust the seasoning with salt if needed, and cook for another 2-3 minutes.
Serve hot, garnished with fresh parsley if desired.