The fish is fried in plenty of butter with a little thyme and is a delicious eating fish that you should treat yourself to try. I served baked leeks with thyme, Jerusalem artichoke purée, browned butter, and chopped salted almonds.
Take the fish out of the refrigerator about 20 minutes before cooking.
Start by gourmet salting your fish: Put coarse salt on both sides of the fish and let it sit on the kitchen counter for 5-8 minutes. The thicker the fish, the longer the time.
Rinse the salt off the fish, or it will continue to cure and become too salty. I typically do this directly under the tap in cold water. Dry the fish well with a clean towel afterwards.
Heat your pan on high heat (12 out of 14 on my stovetop) and make sure it's hot when the fish is being fried.
Put oil in the pan and add the fish. After about 1 minute, add butter and fresh thyme to the pan.
After 2 minutes of frying, flip the fish. Turn down to medium-high heat (8-9 out of 14 on my stovetop).
Tip the pan slightly so you can use a spoon to "bathe" the fish in the warm butter.
After 2 minutes on the other side, take the fish off the pan and let it drain on a clean towel.
Season with pepper from the grinder and a good flake salt.