Prep the carrots. Peel and slice carrots into even pieces so they cook at the same rate. Rounds cook a bit faster than sticks, so aim for uniform thickness.

Start the pan. In a large skillet over medium heat, add the butter, brown sugar, salt, and pepper. Stir as the butter melts until the mixture looks glossy and combined.

Add carrots and liquid. Add the carrots and water (or broth). Stir to coat the carrots in the buttery mixture.

Simmer and steam. Cover the skillet and cook for 6–8 minutes, stirring once halfway through. You want the carrots to soften but still hold their shape.

Reduce the glaze. Remove the lid and increase heat to medium-high. Let the liquid bubble vigorously for 3–5 minutes, stirring occasionally, until it thickens into a shiny glaze.

Finish with acid and optional flavors. Stir in the vinegar or lemon juice for brightness. Add any extras like orange zest, a pinch of cinnamon or ginger, or a sprinkle of chopped herbs.

Taste and adjust. Add a little more salt or pepper if needed. If you like it sweeter, add 1/2 teaspoon more sugar or honey and toss to coat.

Serve warm. Transfer to a warm bowl and garnish with herbs if using. Serve immediately for the best texture and shine.