A fruit cocktail tree, also known as a fruit salad tree, is a fruit tree that has other fruit trees grafted onto it. The four main types of fruit cocktail trees are: stone fruit (Prunus), citrus (Citrus), apple (Malus) and multi nashi (Pyrus). The U.S. Department of Agriculture plant hardiness zones of a fruit cocktail tree depend on the specific kinds of fruit trees the specimen includes. A fruit cocktail tree often is bought in a mature state, eliminating the need for early pruning and training after its purchase. Instead, prune your fruit cocktail tree to maintain its height and shape, and to maximize sunlight penetration of its canopy so the tree produces healthy fruits.