QuestionsHow to growTrees and ShrubsPruningPruning a chilean potato plant 0 Vote Up Vote Down rosie O connor asked 16 years ago I have a chilean potato plant that is flourishing but has become a bit unruly. How and when do I prune it? 1 Answers 0 Vote Up Vote Down Gerry Daly Staff answered 7 years ago Allow it to flower and then prune back unruly shoots.Â