Peel the carrots, trim the ends, and slice them into evenly sized pieces about ¼ inch thick.
Place the carrots, water, and salt in a large skillet.
Bring to a gentle boil over medium-high heat, then reduce the heat to medium-low and cover.
Simmer for 10 to 15 minutes, stirring once or twice, until the carrots are nearly fork-tender.
If much water remains, carefully drain most of it, leaving 1 to 2 tablespoons in the skillet.
Add the butter and honey. Stir gently over medium-low heat for 3 to 5 minutes until the butter melts and the carrots are coated.
Add the black pepper and cook uncovered for another 1 to 2 minutes if the glaze needs to thicken.
Taste and add a little lemon juice if desired.
Transfer to a serving dish and garnish with chopped parsley.
Serve warm.