Heat oil in a large skillet over medium-high heat. Season shrimp with salt and pepper and cook for 2 minutes per side, or until just cooked through. Transfer to a bowl, set aside.
Melt the butter in the same skillet. Saute garlic for about 30 seconds or until fragrant. Pour chicken broth, allow to reduce to half while scraping any bits off of the bottom of the pan.
Reduce the heat to low-medium heat, add in the heavy cream and bring to a gentle simmer, while occasionally stirring. Season with salt and pepper to your taste.
Add in the parmesan cheese and allow the sauce to gently simmer for a further minute or so until the cheese is melted and the sauce has thickened .