Melt butter in a large skillet over medium heat. Add shrimp and Cajun seasoning; cook until shrimp is pink and cooked through.
Add garlic and cook for 1 minute more. Stir in white wine, chicken broth, and lemon juice. Bring to a simmer and cook until sauce has thickened slightly.
Stir in parsley. Serve over linguine.
Notes
Serve immediately. Garnish with extra parsley and a lemon wedge, if desired.