Start by seasoning both sides of your thin steak with salt and black pepper. Drizzle olive oil over the steak and gently press the seasonings into the meat to help lock in the flavors.
Heat a large skillet or grill pan over medium-high heat. Once hot, place the seasoned steak in the pan. Add butter, garlic, rosemary, and thyme to the skillet. As the butter melts, baste the steak by spooning the flavorful mixture over the meat. This will infuse the steak with rich, aromatic herbs and a savory buttery flavor.
After about 3-5 minutes, flip the steak over and continue cooking for another 3-5 minutes, until both sides develop a golden-brown crust. The cook time will vary depending on the thickness of the steak and how done you prefer it, so adjust the time accordingly for rare, medium, or well-done steak.
Remove the steak from the skillet and let it rest for about 5 minutes to allow the juices to redistribute. After resting, slice the steak into thin strips and serve with a generous drizzle of pesto sauce on top.