In a pan, melt butter and add in flour, whisk together. Stir for 2 minutes. Set aside
Saute carrots, celery and onion in olive oil until tender.
Boil noodles in water until tender.
Add in all remaining ingredients, including flour mixture except for cooked noodles
Bring to a boil and then simmer for 20 minutes or until soup thickens to desired consistency.
Add in cooked noodles.
Video
Notes
If your soup gets too thick for your liking, just add in some more chicken broth to get it the consistency that you want.
I like to cook my noodles separately, not in the chicken noodle soup so they don't absorb too much of the yummy broth. I boil them in water and then add them into the soup.