How can I save my potted palm?

My cats are destroying my potted palm. It was a large potted palm about 3 ft. high. I have it in a pot that has a 10 inch base and wider sides at the top. It does have a drainage hole. The cats have got it down to 3 frons and 3 new shoots. I have taken steps to keep the cats away from it but its really looking terrible. I put sheets of lint roller tape in the pot to keep the cats out and spray them with a plant sprayer.