Preheat oven to 350 degrees. Grease a roasting pan.

Cut cabbage in half lengthwise and drizzle ½ tablespoon olive oil on each cut side, spread it all over, and sprinkle a little salt. Put cabbage cut side down on the roasting pan.

Drizzle another ½ tablespoon oil on each round side and sprinkle a little salt.

Roast cabbage for 30 minutes.

Take cabbage out of the oven, flip so the cut side is up, drizzle 1 tablespoon oil and 1-2 tablespoons balsamic vinegar into the layers of the cut side, sprinkle with a little more salt, and put back in the oven for another 90 minutes until very tender.

Let cabbage stand for 10 minutes, covered lightly with aluminum foil, and serve.