In a small skillet, combine the broth, water, butter, brown sugar, cumin, and 1/2 teaspoon salt and bring to a boil over medium heat. Stir until the sugar is dissolved. Add the carrots, reduce the heat and simmer, covered, until just tender, about 4 to 5 minutes.
Uncover the pan and let the liquid cook down until it reduces to a glaze, about 2 to 3 minutes. Toss the carrots to generously coat them with the glaze. Stir in the lemon juice and parsley and season with salt and pepper to taste. Transfer to a serving bowl and serve.