Begin by preparing the cabbage. Remove the outer leaves and chop the cabbage into bite-sized pieces. Rinse and drain thoroughly.
In a large skillet, melt 2 tablespoons of butter over medium heat. Once melted, add the chopped cabbage and sauté for about 5-7 minutes, stirring occasionally, until it begins to soften.
Add the minced garlic to the skillet and continue to cook for an additional 2-3 minutes, until the garlic is fragrant and the cabbage is tender yet slightly crisp.
Season the cabbage with salt and pepper. Pour in the heavy cream, stirring to combine, and let it simmer for another 3-4 minutes until the cream thickens slightly.
Remove the skillet from heat and stir in the remaining 2 tablespoons of butter and grated Parmesan cheese until fully melted and incorporated.
Garnish the creamy garlic butter cabbage with fresh parsley before serving.