How do you fry a fat, uneven salmon filet?
Bake it in the oven instead.

Start in a frying pan to sear the skin and put in a pre-heated oven for 15-20 minutes.

Be careful to get the fish out of the fridge for 10, 20 minutes before cooking it so that its temperature is not too cold so that it cooks more evenly.

Can't you slice the filet to make 2 1-in filet ?