Sprinkle shrimp with salt, pepper and toss to combine. Sprinkle 1 tablespoon flour over the shrimp and toss to coat the shrimp. Repeat by sprinkling 1 more tablespoon flour and toss to evenly coat the shrimp.
Melt butter and olive oil in a large skillet over medium high heat. When hot, add the shrimp in a single layer and cook on each side, flipping once, until golden brown, approximately 3-4 minutes per side. Remove to plate.
Pour in the chicken broth. Cook for about 5 minutes, whisking the bottom of the pan to deglaze. Reduce heat to medium and pour in cream, whisking constantly. Cook sauce over medium heat until bubbly and the cream starts to thicken the mixture, about 5 minutes. Adjust seasonings as desired with cajun seasonings. If too thick, add a few tablespoons additional broth.
Add the cooked pasta and shrimp to the sauce and stir to combine. Dust with parmesan, if desired.