Add water to a large pot and place over high heat on the stove top. Salt the water and add 1 teaspoon olive oil. Bring water to a boil. Add fettuccine. Cook to al dente according to instructions on pasta package. Drain pasta in a colander. Do not rinse.
Place pasta pot back on stove top. Turn heat down to low. Add butter and garlic. Stir occasionally until butter is melted and garlic is browned.
Whisk in broth, salt & pepper. While continuing to whisk, add cream. Let cook for 1-2 minutes. Whisking occasionally.
Add Parmesan cheese 1 C at a time. Whisk until melted and well incorporated before adding the next cup.
Add drained pasta back to past pot. Toss in sauce, spoon into serving dish and serve immediately. Garnish with chopped fresh parsley and extra black pepper, if desired.