01 - Slice leeks in half lengthwise and rinse thoroughly under running water to remove any grit.
02 - Heat butter in a large skillet over medium heat. Add minced garlic and cook for 1 minute until fragrant, avoiding browning.
03 - Place leeks cut-side down in the pan. Season with salt, black pepper, and thyme.
04 - Pour vegetable broth and white wine (if using) into the pan. Bring to a gentle simmer.
05 - Cover and reduce heat to low. Braise for 25 to 30 minutes until leeks are tender and most liquid has evaporated.
06 - Uncover, increase heat to medium-high, and cook for 2 to 3 minutes to slightly reduce the pan juices, if desired.
07 - Transfer leeks to a serving dish. Spoon pan juices over top and garnish with parsley and lemon zest if preferred.