If you thinking about what a good privacy plant for fence, then you will have several options. One example options of privacy plant for fence is bottlebrush buckeye. Bottlebrush buckeye is a deciduous shrub with a dense, mounded form. It grows 8 to 12 feet tall and up to 15 feet wide, ideal for providing privacy within the garden or landscape. The flowers bloom in mid-summer and are followed by the glossy, pear-shaped nuts or buckeyes that are encased in husks. The palmate foliage on bottlebrush buckeye shrubs is composed of five to seven leaflets that turn yellow in fall. Bottlebrush buckeye shrubs grow best in full to part shade and well-drained, rich soils. They are intolerant of dry soils. Grow bottlebrush buckeye in USDA plant hardiness zones 4 to 8, which are defined as the zones that correspond to the average annual minimum temperature the plant tolerates.