Preheat oven to 400 degrees. Line baking sheet with foil and spray with non-stick cooking spray.Note: If you have a frying pan with a metal handle that can tolerate oven temperatures you can place the pan in the oven instead of using a baking sheet.
Heat a medium-sized pan over medium-high heat and add olive oil. Add salmon fillets with skin side up to hot pan and cook for 2 minutes.
Flip salmon fillets so that skin side is down on pan (or on baking sheet.) Bake for 6-8 minutes. Oven times can vary depending on how thick salmon is.Note: To check for doneness, gently press down on the top of the thickest part of the salmon. If it flakes, it's done cooking. If it is seeping white (albumin), it is already overcooked.
While it bakes, add brown sugar and soy sauce to a bowl and mix. Heat in the microwave for about 25 seconds until brown sugar has dissolved.
Once salmon is cooked, remove from oven and spoon glaze over top.