Freeze salmon for 30 minutes until slightly firm to make it easy to cut equally.
Cut salmon into pieces about 1/4 inch (6 mm) with a sharp knife. Scrape salmon skin with knife to peel off flesh. Do this until salmon flesh is completely removed.
Mix all brine ingredients together in a glass bowl. Add the salmon pieces and cover; set aside inside fridge to settle for 12 hours.
Remove refrigerated salmon from fridge. Spread bleach free paper towels about 3 layers on the counter. Gently remove salmon pieces from the brine and set on the paper towels to soak up liquid.
Place salmon pieces on a dehydrator tray and dehydrate at 145°F (63°C) for 3 to 4 hours or until it turns into a dark reddish brown color or dry and chewy. It should be flexible and not snap when bent.
Store chewy salmon jerky in ball jars for several months.