Preheat your oven to 325°F (163°C).
In a small saucepan over low heat, combine heavy cream, salt, and minced garlic. Simmer for 5 minutes to allow the garlic flavor to infuse into the cream, then remove from heat and set aside.
Rinse the potatoes and use a mandolin slicer to cut them into thin ⅛-inch slices.
In a 16-inch cast iron skillet, brown the butter for about 4 minutes until it turns slightly golden. Add the minced onion during the last minute of cooking, then remove from heat and set aside.
Arrange the sliced potatoes in a spiral pattern over the browned butter in the skillet.
Pour the garlic-infused cream over the layered potatoes.
Cover the skillet tightly with aluminum foil and place it in the preheated oven. Bake for 1 hour and 15 minutes.
After baking, remove the skillet from the oven and switch the oven to the broil setting.
Sprinkle the Parmesan cheese and chopped parsley over the potatoes.
Return the skillet to the oven and broil for 3-5 minutes, or until the cheese is crispy and bubbling.
Remove the pan from the oven and serve the dish while warm.