Heat oil in a small skillet over low heat. Add garlic cloves and 3 chiles; cook until the garlic is golden, about 1 minute. Remove the pan from the heat, cover and let stand for 10 minutes. Discard the garlic and chiles, reserving the oil.Advertisement
Gently stir together olives with brine, cranberries, kumquats, mint and the infused oil in a large bowl. Divide the olive mixture among four 1-pint sterilized jars, making sure that the olives are covered with liquid. Place 1 chile in each jar. Close lids and refrigerate for at least 1 week. Before serving, allow the mixture to come to room temperature.
Make Ahead Tip: Cover and refrigerate for up to 3 months.