Boil the baby potatoes in salted water until fork-tender, about 12-15 minutes. Drain and set aside.
In a large skillet, melt the butter over medium heat. Add the minced garlic and sauté until fragrant, about 1-2 minutes.
Stir in the heavy cream and bring to a simmer. Reduce the heat to low and let it thicken slightly, about 3-4 minutes.
Add the Parmesan cheese and stir until fully melted and incorporated. Season with salt and pepper to taste.
Toss the boiled potatoes in the creamy garlic sauce until evenly coated.
Garnish with chopped parsley before serving.