You will need to remove the yellow and brown fronds this spring but only those as they will not come back. Just use sharp shears to do so. Do not remove green parts of fronds. These articles will help you as well:
https://www.gardeningknowhow.com/plant-problems/environmental/how-to-tell-if-a-plant-is-dead-and-how-to-recover-an-almost-dead-plant.htm
https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm