Cook the pasta according to package instructions until al dente. Drain and set aside, reserving 1/2 cup of pasta water.
In a large skillet, heat the olive oil and butter over medium heat. Add the sliced morel mushrooms and sauté for about 5 minutes, or until they are tender and lightly browned.
Add the minced garlic to the skillet and cook for an additional 1-2 minutes, stirring frequently to prevent burning.
Pour in the heavy cream and bring to a gentle simmer. Allow it to cook for about 3-4 minutes until it thickens slightly.
Stir in the grated Parmesan cheese until melted and smooth. If the sauce is too thick, add a little reserved pasta water to reach your desired consistency.
Season the sauce with salt and pepper to taste. Add the cooked pasta to the skillet and toss to coat evenly with the sauce.
Serve immediately, garnished with fresh parsley.