Plums grow in Zones 4 to 10. Contact the nearby Cooperative Extension Service for plum varieties that grow best in your area. A nearby garden center will carry plum varieties for your region. Plant plums in full sun. Plums can tolerate partial shade, but the yield will be less. Plant plums in deep, well-drained soil that is moisture retentive. Prepare the planting site by working in plenty of aged compost, aged manure, or commercial organic planting mix before planting.