Step 1: Boil the chicken for about 30-45 minutes. Check doneness by cutting into chicken breast. Set aside to cool and once cool, shred chicken.
Step 2: Chop up onion and mince garlic.
Step 3: In the stock pot, melt butter and add in olive oil. Add in onion, garlic and carrots.
Step 4: Cook until onions are translucent and garlic is fragrant.
Step 5: Add in flour, stir into butter and olive oil immediately to create a roux. Let the roux cook 1-2 minutes.
Step 6: Add in chicken broth and chicken stock, stirring the roux into the liquid as it pours.
Step 7: Bring the soup to a simmer and simmer on medium for 15 minutes so the soup can thicken.
Step 8: Boil gnocchi following the directions on the package.