Season the salmon with salt and let it sit 5 minutes, then pat dry again.
Heat the coconut oil in a large non-stick pan over medium-high heat.
Sear the salmon skin-side down 4 minutes until crisp. Flip and cook 2 minutes. Set aside.
In the same pan, simmer 1/2 cup of the coconut cream with the red curry paste for 3 minutes until the oil separates.
Stir in the fish sauce, erythritol, torn lime leaves, and the remaining coconut cream.
Simmer 3–4 minutes until the sauce is thick enough to coat a spoon.
Return the salmon to the pan and spoon the sauce over for 1 minute.
Finish with lime juice, shredded lime leaves, sliced chili, and Thai basil.