Remove bottom stem of cabbage. Cut each cabbage head in half. Then cut each half into 4 wedges.
Heat half of oil in a large cast-iron skillet over medium-high heat.
Working in batches, char the sides of the cabbage wedges by cooking 4 minutes on each side. Once all sides are charred, remove cabbage to plate and repeat until all cabbage is cooked.
Pour the other half of oil into the empty skillet over medium heat, and add tomato paste, garlic, and spices. Cook for 3 minutes.
Pour in water and bring to a simmer.
Add back the cabbage wedges, squeezing them all into the skillet.
Transfer skillet to oven uncovered. Bake for 20 minutes.
Turn cabbage wedges and bake for another 20 minutes.