Depending on where you live, olive trees can survive in USDA growing zones 8 to 11, or year-round indoors in containers. Just like winter, summer is also unfavorable for new olive tree plantings because extreme heat can negatively affect the tree. How to Plant an Olive TreeThe easiest way to grow an olive tree is by purchasing an established one from a local nursery. Growing an Olive Tree in ContainersIf you live in a colder climate, where olive trees can’t stay outside year-round, consider planting your tree in a container. Common Pests and DiseasesThe olive fruit fly is the most serious pest that you might face with olive trees.