Heat olive oil in a cast iron skillet over medium heat until shimmering.

Cut cabbage in half and slice one half into four wedges.

Place cabbage wedges flat-side down in the hot skillet, seasoning with salt. Cook for 6-7 minutes until charred.

Flip the cabbage wedges carefully and cook the other side for another 6-7 minutes.

In a mixing bowl, combine lemon juice, minced garlic, yogurt, salt, and pepper. Whisk until smooth.

Adjust the consistency of the dressing with water if too thick.

Combine cooked cabbage with dressing and garnish with fresh herbs if desired.