Try not to stress - it's a phase most kids grow out of My kids won't eat fresh vegetables, no matter how hard I try. How do I get them to eat their greens?Annelise, Sevenoaks Talk about asking the impossible, Annelise. Your guess is as good as mine, but at least you can take some comfort in the fact that you are not alone (and remember, anyone who says their little darling has cheerfully wolfed down cabbage since infancy is lying).