Preheat the oven to 350 degrees F. Grease a 9-inch springform pan with cooking spray. Place on a rimmed baking sheet.
Bring a large pot of salted water to a boil. Add the fettucine and cook for about 3 minutes less than the package recommends, so that it is very al dente. Drain, then rinse with cold water and reserve.
Beat the cream cheese on medium-high speed in the bowl of a stand mixer or with an electric hand mixer until smooth and creamy, about 2 minutes. Add the butter and beat until combined. Add the eggs, 1/2 cup Parmesan, 1/2 cup mozzarella and a pinch of salt and beat until combined. Beat in the heavy cream, olive oil and cracked black pepper to taste until everything is smooth and combined. Add the fettucine and toss to coat and combine. Transfer to the prepared pan and sprinkle with the remaining 1/4 cup Parmesan and 1/4 cup mozzarella.
Bake until the top is bubbling and golden brown, 20 to 25 minutes. Let rest for 10 to 15 minutes. Remove from the pan, then cut into wedges and garnish with the parsley.