Pat the steaks dry with paper towels. Rub them with olive oil, then generously coat both sides with Cajun seasoning, salt, and black pepper. Let them sit at room temperature for about 10 minutes.
In a small saucepan over medium heat, combine apricot preserves, orange juice, soy sauce, Dijon mustard, minced garlic, and red pepper flakes. Stir and simmer gently for 3–4 minutes, until the glaze thickens slightly. Remove from heat and set aside.
Heat a heavy skillet (preferably cast iron) over medium-high heat. Once hot, sear the steaks for about 3–4 minutes per side, depending on thickness and desired doneness. For medium-rare, cook to an internal temperature of 130–135°F (54–57°C).
In the last minute of cooking, brush the tops of the steaks with the apricot orange glaze. Flip and glaze the other side as well, allowing it to caramelize slightly in the pan.
Remove the steaks from the skillet and let them rest for 5 minutes. Brush with a little more glaze before serving. Garnish with chopped parsley or green onions if desired.