Hey, I personally count both fruit and vegetables.
You can eat a lot of vegetables when you're calorie counting, but it does depend on which ones.
Things like potatoes, parsnips and sweetcorn are quite calorific so these should definitely be counted and eaten in moderation.
However things like lettuce, cucumber, green beans, peppers and tomatoes are very very low in calories, so a lot of these can be incorporated in your diet.
If in any doubt, you can always check My Fitness Pal and see how many cals a serving is.