Season the salmon fillets with salt, pepper, and Cajun seasoning.
Heat the oil in a medium, non-stick skillet over medium heat. Cook the salmon fillets flesh-side down first, for 5 minutes on each side, or until cooked to your liking. Once cooked, remove them from the pan and set aside.
To the same pan, add 1 tablespoon of butter and garlic. Cook for 1 minute. Add the wine and cook for about 5 minutes, until it is reduced by more than half.
Stir in the remaining butter, parsley, lemon juice, and a pinch of Cajun seasoning. Bring to a gentle simmer.
Return the salmon to the pan, and cook for another 2-3 minutes.