If Non-halal Chicken and vegetables are cooked in same pot. Can we eat vegetables?

Chicken, beef, mutton themselves are not Nijas but slaughtering process makes them halal or haram. It's not about food but it's about saying Allah's name. By this argument, Can we consume vegetables cooked in same pot as Chicken. For example Macdonalds, KFC, subway etc, what if they cook potato fries and Chicken in same pot. Can we eat fries? If not then why not.