In a medium bowl, whisk together olive oil, soy sauce, Worcestershire sauce, lemon juice, brown sugar, garlic, Dijon mustard, Italian seasoning, paprika, salt, and pepper.
Place steak in a large zip-top bag or shallow dish. Pour marinade over the steak and coat well.
Cover and refrigerate for at least 2 hours, or up to 8 hours for extra flavor.
Remove steak from the refrigerator 20–30 minutes before cooking.
Heat a grill or large skillet over medium-high heat. Cook steak for 4–6 minutes per side, depending on thickness and desired doneness.
Transfer steak to a plate and let it rest for 5–10 minutes.
Slice against the grain and sprinkle with fresh parsley before serving.
