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For the most part, trees and shrubs can be planted at any time of year, though some seasons are better for the plants and more convenient than others.
Spring is a very good time to plant. It gives the tree or shrub an entire growing season to become established and gets it stated before the weather turns really hot. Many gardeners avoid planting during the hottest and driest parts of summer, mainly because oof the extra work involved with supplemental watering. However, even a spring-planted tree or shrub will require watering during hot, dry weather.
Bare-root stock must be planted in spring because it is generally available only at that time, and it must be planted as soon as possible to avoid moisture loss.
Balled-and-burlapped and container stock can usually be planted at any time, as long as you can get a shovel into the ground. They can even be planted in frozen ground if you had the foresight to dig the hole before the ground froze and to keep the backfill (the dirt from the hole) in a warm place. Most plants do, however, benefit from having some time to become established before a cold winter sets in.
Excerpt from "Tree & Shrub Gardening for Ohio" by Fred Hower and Alison Beck. Available for purchase here.