Some fruit trees fare better when planted as grafts, but nectarine trees can be grown just as well when planted as seeds. A nectarine tree can be grown in USDA zones 5 through 8. Nectarine seeds should be dry before they are planted. If taking the seeds directly from a fruit, allow the pit to dry for about three days before removing the seeds from the pit. Once dried, use a nutcracker to crack the pit and remove the seeds.