Bring 4 quarts of heavily salted water to a rolling boil in a large stockpot.
Add gluten-free pasta and cook according to package instructions until al dente, usually 8 to 10 minutes.
While pasta cooks, melt butter in a large sauté pan over medium-low heat.
Add minced garlic to the butter and sauté for 60 seconds until fragrant but not browned.
Increase heat to medium and add white wine, simmering until the liquid is reduced by half to concentrate flavors.
Whisk in the heavy whipping cream and bring to a gentle simmer for 3 minutes to slightly thicken.
Gradually whisk in the Parmesan cheese until fully melted and an emulsified sauce forms.
Drain the cooked pasta and immediately transfer it into the sauté pan with the sauce.
Toss the pasta continuously for 1 to 2 minutes over low heat to allow the sauce to adhere to the noodles.
Season with salt and black pepper; garnish with fresh parsley and serve immediately.