The good news is you can indulge in your favorite foods and still eat Everyone -- with diabetes or without -- would be wise to avoid or limit the foods on this list. Diabetics can eat almost every kind of fruit or vegetable. such as fried potatoes or apple pie, even though these fruits and vegetables are nutritious alone. Confused about what fruit to eat when you have diabetes? Read on for Many seemingly healthy fruit-based foods are full of added sugars (think jams and jellies, fruit bars or fruit pies, fruit-flavored drinks). Also be sure to.