Silly question, but you do NOT put the salmon back into the oven, just cook it on the preheated skillet?

I made this the other day. It was fantastic. Put the cast iron pan in the oven for about 5 minutes. Leave it in the oven. Put the salmon on it, and cook the whole thing in the oven, per the instructions in the recipe. After about 15 minutes it should be done. I also sprinkled a maple salmon rub on it prior to cooking.