Allow the ribeye steak to sit at room temperature for 30 minutes. Season generously with salt and pepper.
Heat 2 tablespoons of olive oil in a large skillet over medium-high heat. Sear the steak for 4-5 minutes on each side for medium-rare. Remove and let it rest.
In the same skillet, reduce heat to medium and add 2 tablespoons of unsalted butter. Once melted, add minced garlic and sauté for 1 minute.
Pour in 1 cup of heavy cream, stirring to combine. Let simmer for 2-3 minutes. Stir in 1/2 cup of grated Parmesan cheese and 1 teaspoon of Italian seasoning until the cheese melts.
Slice the rested steak against the grain and return to the skillet, coating with the sauce. Add remaining 2 tablespoons of butter and stir until melted.