While a few bites of unseasoned ham won't hurt your pet, too much could result in quite a mess. Ham is fatty, salty, and during the holidays it's often doused in a deliciously sweet maple glaze. If you must share with your pet, cut off any excess fat and make sure to only give him unseasoned ham. You might even want to give it a quick soak in water to release some of the saltiness. If your pet has a sensitive tummy, steer clear of this treat.