Wash, peel, and slice the carrots into uniform pieces about 1/4-inch thick or cut into sticks.
In a large skillet over medium heat, melt the butter until it begins to foam.
Add the carrots, brown sugar, cinnamon, and salt. Stir to coat the carrots evenly in the butter and sugar mixture.
Cook for 5 minutes, stirring occasionally, until the carrots begin to soften.
Add 1 tablespoon of water or broth if needed to prevent sticking and help the glaze form. Cover the skillet and reduce heat to low. Simmer for 10–15 minutes, stirring occasionally, until carrots are tender but still slightly firm.
Uncover and increase heat to medium-high. Cook for 2–3 minutes more, stirring frequently, until the liquid has reduced and the carrots are glossy and caramelized.
Remove from heat and serve warm as a side dish.
Notes
Perfect as a holiday side dish or everyday comfort food.