Insert 1 pop stick into the cut end of each banana.
Place the bananas on a wax paper covered baking sheet and freeze until the bananas are frozen, about 2 hours.
Melt the chocolate and butter in a microwave-safe glass or ceramic bowl in 30-second intervals, stirring after each melting, for 1 to 3 minutes (depending on your microwave).
Dip the frozen bananas in the melted chocolate, spooning the chocolate over the banana to cover it completely.
Roll in coconut if desired.
Place the dipped bananas on the wax paper-covered baking sheet, and freeze until the chocolate is firm.
