Full list of fruits and vegetables that are OK for your dog to eat and which vegetables as part of their diet, but an occasional fruit or veggie as a Carrots · Can Dogs Eat Apples? · Can Dogs Eat Grapes? · Can Dogs Eat Celery? You might not think fruits and vegetables for dogs would be controversial but it is! gave a talk on the role of vegetables and fruit in the healthy canine diet. These great fruits and vegetables for dogs are all safe and highly nutritious. Bananas are a great pick-me-up- fruit, full of natural sugar that converts readily.