Defrost the salmon fillets if frozen by adding to a bowl of water with juice of half of the lime. Set aside for 1 hour.
Once defrosted, drain, rinse and pat dry the fish.
Coat the fillets with oil, salt, whole grain mustard with honey and Caribbean green seasoning.
Squeeze some lime juice over the top. Set the fillets aside to marinate for 15 minutes.
Preheat the oven at 375°F.
Add a cast iron pan on the stove on medium heat. Coat the pan with oil and allow it to heat up.
Place the seasoned fillets skin side down in the hot pan.
Cook on the stove for 3 minutes.
Remove from the stove and place the pan in the preheated oven.
Cook for 12 minutes (until the fish has an internal temperature of 130°F).
Remove from the oven. Squeeze more lime juice over the fillets and serve warm.