In a small bowl, whisk together the olive oil, lemon juice, minced garlic, oregano, salt, and black pepper to create a marinade.
Place the salmon steaks in a shallow dish and pour the marinade over them, ensuring they are well coated. Cover and refrigerate for at least 30 minutes to 1 hour.
Preheat your grill to medium-high heat. Oil the grill grates to prevent sticking.
Remove the salmon from the marinade and let any excess drip off. Discard the marinade.
Place the salmon steaks on the grill and cook for about 4-5 minutes on each side, or until the salmon flakes easily with a fork and reaches an internal temperature of 145°F.
Remove the salmon from the grill and let it rest for a few minutes before serving.
Serve with lemon wedges and garnish with fresh parsley.