Full list of fruits and vegetables that are OK for your dog to eat and which should be avoided. foods can lead to long-term health problems and, in extreme cases, even death. The fleshy inside of the fruit doesn't have as much persin as the rest of . Press Center · Most Popular Dog Breeds in America Carrots · Can Dogs Eat Apples? · Can Dogs Eat Grapes? · Can Dogs Eat Celery? We know fruits and vegetables are packed with healthy vitamins and a bit of peanut butter if your dog is reluctant to give the fruit a try at first. My three-year-old rescue dog, Goblin, will do anything for a morsel of food, which is why I always keep a stash of dog treats on hand. But the Missing: center.