Heat oil in large heavy pot. Cook onion and celery until translucent. Season chicken pieces liberally with salt and pepper. Place chicken skin side down in pot and brown, about 5 minutes. Add carrots and cover with water. Bring to a simmer and cook for 1 hour. Remove chicken from soup and let cool. Remove meat from bones and shred, discard skin. Return meat to pot and stir in parsley and noodles. Cook for another 20 minutes.