Begin by gathering all the ingredients. In a medium saucepan, melt the butter over low heat. Slowly add the heavy cream, allowing it to simmer gently for about 5 minutes.
Next, add the freshly grated Parmesan cheese and the crushed garlic to the pan. Whisk the mixture continuously to create a smooth and creamy consistency. Keep whisking until the sauce is well-heated and fully combined.
Lastly, fold in the chopped parsley, adding a touch of freshness to the sauce. Serve the Alfredo sauce immediately, savoring its rich and creamy flavor.