In a large skillet, heat the vegetable oil over medium-high heat until shimmering, about 2 minutes. Add the shrimp in a single layer and sear for 2 to 3 minutes per side, until they turn pink and are fully opaque. Season with salt and black pepper while cooking. Once done, transfer the shrimp to a plate and set aside.
In the same skillet, melt the butter over medium heat, then add the minced garlic. Sauté for about one minute until fragrant, stirring continuously to prevent burning. Pour in the white wine and stir well, allowing it to deglaze the pan and enhance the flavor, cooking for another minute.
Reduce the heat to medium and add the heavy cream, Italian seasoning, and shredded white cheddar (or Parmesan). Stir thoroughly to combine all ingredients, then bring the mixture to a gentle simmer. Continue stirring as the sauce thickens to your desired consistency.
Return the cooked shrimp to the skillet, tossing them in the creamy garlic sauce until evenly coated and warmed through.
Sprinkle freshly chopped parsley over the shrimp and serve immediately with pasta, rice, or creamy mashed potatoes for a rich and satisfying meal.