Boil the pasta according to package directions. Drain pasta, reserving two cups of pasta water.
Rub the serving bowls with the peeled garlic.
While the pasta is cooking, heat the cream in a small saucepan over medium heat. Pour the cream into the cooked and drained pasta and add the butter, cheeses, and salt and pepper. Stir gently to combine, adding reserved pasta water as needed to get the consistency you like. Taste and add more salt and pepper if needed.
Serve in the garlic rubbed bowls and sprinkle with parsley.