1. Heat olive oil in a large, straight-sided skillet over medium-high heat. Add garlic and chile and cook until garlic is fragrant, 2 to 3 minutes.

2. Add fennel, artichokes, lemon peel, thyme, and wine to skillet; stir to combine. Bring to mixture to a boil, reduce heat to a simmer, and cover. Cook, stirring occasionally, until fennel is tender, about 25 minutes. It may be necessary to add water if liquid evaporates too quickly.

3. Using a slotted spoon, transfer solids to a bowl; set aside. Increase heat to high and reduce liquid by half. Pour reduced liquid over the fennel and artichoke mixture. Season with salt and pepper, and serve.