Preheat the grill to medium-high heat.
Slice the eggplant into 1/2-inch thick rounds.
Generously salt the slices on both sides and set them on a couple of paper towels for about 15-30 minutes to sweat. This will help remove some of their moisture. When done, rub the salt off.
In a small bowl, whisk together the olive oil, minced garlic, dried oregano, and black pepper.
Brush both sides of the eggplant slices with the olive oil mixture.
Place the eggplant slices on the preheated grill and cook for 4-5 minutes on each side, or until tender and lightly charred.
Transfer the grilled eggplant to a serving platter.