In a small saucepan, melt the butter over low heat. Add the minced garlic and cook for 1-2 minutes, until it becomes fragrant.
Pour in the heavy cream and bring it to a gentle simmer, stirring occasionally. Let it simmer for 5 minutes before removing from heat.
Stir in the finely grated parmesan cheese and let the sauce sit for 5 minutes to allow the cheese to melt. Whisk gently to ensure a smooth consistency.
Serve this creamy Alfredo sauce over pasta, chicken, fish, or vegetables.