Rinse the shrimp, pat them dry with paper towels, and set them aside.
Heat a skillet over medium heat and melt the butter. Add the garlic and sauté until fragrant but not browned. Add the shrimp and cook until they turn pink and opaque on the surface, but are not fully cooked through.
Add the light cooking cream, white wine or Japanese cooking sake, mirin (if using), salt, and cayenne pepper. Bring the mixture to a gentle boil, allowing the shrimp to cook through, add the parsley, stir to combine well.
Remove from heat, sprinkle Parmesan cheese on top and garnish with lemon wedges. Squeeze the lemon juice over the dish just before enjoying with rice, pasta, or crusty bread.