Cook pasta in boiling salted water until 1 minute under al dente.
Reserve 1 cup of pasta water before draining.
Melt 1/3 butter in skillet over medium-high heat. Cook half the prawns for 1.5 minutes per side until pink. Remove and repeat with remaining butter and prawns.
Add remaining butter to the skillet, then sauté minced garlic for 20 seconds until fragrant.
Deglaze with white wine, simmering rapidly for 2 minutes until mostly evaporated.
Add heavy cream, chicken broth, and Parmesan cheese. Stir until cheese melts and simmer for 1.5 minutes until slightly thickened.
Add cooked prawns, drained pasta, and 1/4 cup pasta water to the skillet. Toss energetically over medium-high heat for 1-2 minutes until sauce clings to pasta, adding more pasta water if needed.
Stir in parsley and black pepper. Taste and adjust seasoning. Serve immediately.