Mix the cold water and salt in a large bowl until completely dissolved. Set the brine aside.
Turn the knife parallel to the cutting board and cut the salmon meat from the skin. Remove the skin and connective tissue. Cut the fillet into 1/4 inch slices.
Place the slices in the brine for 4-5 minutes (work in batches). Blot gently with paper towels.
Arrange the cured salmon in a single layer on a platter. Cover with plastic wrap and refrigerate for at least 2.5 hours.