In a 9-inch skillet, melt the butter over medium heat. Add the sugar and cook, stirring, until the syrup is a light caramel color, about 2 minutes.
Add the plantains, tossing to coat, and cook until tender, about 3 minutes. Add the apple juice and boil 1 minute, or until thickened slightly. Stir in the cinnamon and remove from the heat.
Divide the plantains among 4 dessert plates and spoon the juices over each.
This recipe tasted great. However, as my first time making it and following the instructions while substituting bananas for plantains, I think I ended up with two much juice. The directions give approximate times and this seems to allow you to adjust times to your taste. Next time I think I will do better and will probably try three bananas instead of two. Maybe I will buy plantains if I see them in the store.