In a large pot, cook the pasta according to the package instructions until al dente. Reserve 1 cup of pasta water, then drain the pasta and set it aside.
In a large saucepan over medium heat, melt 1/2 cup of unsalted butter.
Add the 3 cloves of minced garlic to the melted butter and sauté for about 1-2 minutes or until fragrant, being careful not to burn it.
Pour in 1 cup of heavy cream, stirring continuously. Bring the mixture to a gentle simmer, allowing it to heat through.
Gradually add 1 cup of grated Parmesan cheese, stirring until melted and combined. Allow the sauce to thicken slightly (about 3-5 minutes).
Season the sauce with salt and pepper to taste.
Incorporate the drained pasta into the sauce, tossing to evenly coat. If the sauce is too thick, add a little of the reserved pasta water to achieve the desired consistency.
Once everything is well mixed and heated through, remove the pasta from heat.
For garnishing, sprinkle chopped fresh parsley on top before serving. Enjoy your Alfredo pasta warm!