The Best Way to Cook Steak in a Frying Pan. Choose a thick cut of steak over a thin one. Thick cuts of steak 1 in2. This task is a lot more difficult with thin cuts You risk overcooking the inside right when the outside has finished browning. If you like your steak to have a perfectly brown outside and a juicy, pink center, opt for thicker cuts of meat over thinner ones. Ensure the steak is defrosted first, an icy steak wont season or sear properly. How To Pan Fry Filet Mignon' title='How To Pan Fry Filet Mignon' />Dine Downtown Baltimore City Restaurant Events and Recipes by local Chefs. I use rib eye or delmonico steaks which have sufficient fat to produce a moist, tender result. Filet mignon or other very lean cuts do not do as well in this. In this article, Ill tell you all about how to pan fry steak. Dinosaur Kale. First, Ill talk about which cut of meat to select. Then, Ill talk about how to season the steak.