Line your baking sheet (an old one or the one you use for smoking) with aluminum foil paper. Set aside.
Place the cabbage on a cutting board, remove the outer leaves, and cut it in half from top to bottom. Next, cut each half into quarters by making another cut perpendicular to the first one. Transfer to the baking sheet.
Preheat your smoker according to the manufacturer's instructions, targeting a temperature of 225-250°F/107-121℉.
Heat olive oil in a small skillet, then add the minced garlic, thyme, salt, black pepper, and Creole seasoning. Stir for 30 seconds or more for the flavors to bloom. Remove from the stove.
Brush the seasoned olive oil mixture over the cabbage wedges, making sure every inch is well coated.
Let the cabbage marinate for about 15 minutes to allow the flavors to penetrate. Place the sheet in the smoker.