Start by trimming the ends of the Brussels sprouts and cutting them in half lengthwise. Large sprouts can be cut into quarters.
In a large skillet or frying pan, heat oil over medium-high heat. Make sure the oil is evenly distributed across the pan.
Once the oil is hot (but not smoking), carefully add the halved Brussels sprouts to the pan, placing them cut side down in a single layer and reduce to medium heat. Sprinkle with seasonings and cover pan with a lid.
Let the Brussels sprouts cook, undisturbed, for about 6-8 minutes, allowing them to start to caramelize. By the end of this time, the flat sides should be starting to get golden brown.
After the initial cooking time, remove the lid and give the Brussels sprouts a gentle stir.
Pour the vinegar directly into the pan and then cook for an additional 3-5 minutes, uncovered over medium low heat
Stir to coat the sprouts with the reduced vinegar and remove from heat.