Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Slice the green cabbage into thick wedges or 1-inch thick rounds and place them on the prepared baking sheet.
Drizzle the cabbage with 1 tablespoon of olive oil and season with a pinch of the sea salt and black pepper.
Roast the cabbage for 20 to 25 minutes, flipping halfway through, until the edges are caramelized and tender.
While the cabbage roasts, season the chicken breast on both sides with the dried oregano, dried thyme, remaining sea salt, and black pepper.
Heat the remaining 0.5 tablespoon of olive oil in a skillet over medium-high heat.
Add the chicken breast to the skillet and sear for 5 to 7 minutes per side, or until the internal temperature reaches 165°F.
In the last minute of cooking, add the minced garlic to the skillet and sauté until fragrant, being careful not to burn it.
Remove the skillet from the heat and immediately pour the lemon juice and lemon zest over the chicken to deglaze the pan.
Serve the pan-seared chicken alongside the roasted cabbage wedges, spooning any remaining lemon-garlic pan juices over the top.