First, preheat your grill to medium-high heat. Or, use a grill pan on the stovetop.

In a small bowl, combine olive oil, minced garlic, lemon juice, oregano, salt, and pepper to create a marinade.

Place the swordfish steaks in a shallow dish or resealable plastic bag. Pour the marinade in. Make sure the steaks are evenly coated. Let them marinate for 20 to 30 minutes. If in a hurry, 10 minutes is fine.

While the swordfish is marinating, lightly oil the grill grates to prevent sticking. If using a grill pan, skip this step.

Once the grill is ready, take the swordfish out of the marinade. Let any excess marinade drip off.

Place the swordfish steaks on the preheated grill. Grill the steaks for about 4 to 5 minutes on each side, or until the fish is opaque and flakes easily with a fork. The cooking time may vary depending on the thickness of the steaks, so watch closely.

Once cooked, remove the steaks from the grill. Let them rest for 1 minute.

Finally, serve the swordfish steaks with lemon wedges and fresh parsley.