Combine the coconut sugar, sea salt, pepper, cumin, dry mustard and cinnamon in a small bowl and set aside.
Rinse the salmon in running water to remove any loose scales and then gently pat them dry using a paper towel. Remove all excess water prior to adding the rub.
Rub the spice mixture on the top side (non-skin) of the salmon fillets.
Heat an oven-proof fry pan over high heat. Add the olive oil to the pan and allow to get hot. Place the fillets, rub-side down, in the hot oil. The fish should sizzle.
When the fish releases easily (doesn't stick to the pan) and the rub side is nicely browned, about 2-4 minutes, carefully flip the fillets over and transfer pan to the oven.
Roast the salmon until it flakes easily with a fork (insert a fork and gently twist -- if the fish looks flaky, it's ready), about 5-8 minutes.