Arrange the potatoes in a single layer in a Dutch oven or other wide, deep pan. Place the Dutch oven over medium heat and add the chicken stock, garlic, thyme, butter, and salt to taste.
Cover the pan with a lid and bring to a boil over mediumish heat. Reduce the heat and gently simmer, shaking the pan or stirring the potatoes often, until the potatoes are just tender, 12 to 20 minutes, depending on the size of the potatoes.
Remove the lid and continue to cook, turning occasionally and keeping an eye on the heat so the butter doesn’t burn, until the potatoes take on browned splotches on all sides, 5 to 10 minutes.
Use a slotted spoon to transfer the potatoes to a dish and season with pepper. Devour immediately.