When it comes to heart and health and pistachio nutrition, there is scientific research that suggests pistachio nutrition supports a strong heart and healthy blood vessels. The US Food and Drug Administration (FDA) recognizes that tree nuts, including pistachios, can be part of a heart healthy diet: scientific evidence suggests but does not prove that eating 1.5-ounces per day of most nuts, such as pistachios, as part of a diet low in saturated fat and cholesterol may lower the risk of heart disease.