Heat olive oil in a large skillet over medium-high heat. Season the shrimp with salt, pepper, and paprika. Cook them for 1-2 minutes on each side until pink and just cooked, then set aside.
In the same skillet, melt butter and sauté minced garlic until fragrant, about 1 minute. Be careful not to burn it, as burnt garlic tastes bitter.
Pour in white wine or chicken broth to deglaze the pan. Scrape any brown bits from the bottom—they add rich flavor to your sauce.
Reduce heat to low and stir in heavy cream. Let it simmer gently until slightly thickened, about 2-3 minutes.
Gradually whisk in freshly grated Parmesan until melted and creamy. Season with additional salt and pepper if needed.
Return the cooked shrimp to the skillet and toss gently to coat. Simmer for another 1-2 minutes so the shrimp soak up the flavors.
Sprinkle with fresh parsley before serving for a vibrant touch. Serve hot over pasta, rice, or alongside garlic bread.