Remove and discard the outer leaves of the cabbage. Cut the cabbage in half and remove the core. Proceed to chop the cabbage into thin slices ( you can use a knife, a mandolin or even a food processor if you prefer)

Thinly slice the onion into thin slices.

In a large nonstick skillet, heat olive oil and melt butter over medium heat. Add the sliced onions and sauté until they start to soften. Then, add the minced garlic and sauté for an additional minute, stirring constantly.

Now, add the chopped cabbage to the skillet. Sauté the cabbage for about 12-15 minutes, stirring occasionally to prevent burning. The cabbage should become caramelized and tender during this time.

As the cabbage cooks, adjust the salt and pepper according to your taste preferences.

Once the cabbage is caramelized to your liking, it's ready to serve!