Prepare the brussels sprouts. Wash the sprouts, then cut the woody ends off. Gently remove the outer few leaves, then cut the sprouts in half. If you have a particularly small brussels sprout you can leave it uncut. Conversely, if there is a rather large sprout, cut it into quarters instead.
Heat the olive oil in a large pan over medium high heat. Add the sprouts, cut side down in an even layer. Let the brussels sprouts cook on this side without mixing for about 5 minutes, until the cut sides are nicely browned. Then, stir the sprouts and continue cooking for another 2 minutes.
Add the chicken or vegetable stock to the pan, stir quickly, then cover the pan. Allow the sprouts to cook covered for another 4-5 minutes, until they have softened some but still have a little firmness.
Season the brussels sprouts with salt, pepper, and your choice of additional optional seasonings.