Freeze Damage to Palm Early Spring is a great time to be pruning your palms if they had winter damage. They are pushing new growth now so any pruning done now will be replaced with new growth over the next month. If the palm frond has substantial browning from cold damage, remove the frond as close to the trunk as possible. While you are at it on some palms you may see the flower stems emerging so you can eliminate the fruit now if it has been a problem in the past.