A complex interrelationship exists among chronic ischemic left ventricular dysfunction, persistence of myocardial viability and possibility to limit progression of chronic heart failure. Cardiac remodeling is influenced by several factors still under investigation. Hibernation is basically an adaptive mechanism to chronically abnormal coronary blood flow, characterized by metabolic and structural alterations of the cardiac tissue, that are fully recovered upon revascularization. The estimate of the prevalence of myocardial viability in patients with chronic ischemic left ventricular dysfunction is crucial and different figures can be obtained by applying different diagnostic techniques and analyzing different cohorts of patients. In patients with chronic heart failure and substantial areas of myocardial ischemia and viability, revascularization is likely to prolong survival. The amount of viable myocardium needed to be clinically relevant remains to be established: only randomized prospective studies, focusing on both functional improvement and prognosis, will give an evidence-based conclusion. An aggressive and thoughtful surgical approach to patients with ischemic heart failure can yield satisfying long-term results, with survival rates superior to medical management alone, and can constitute a true and valid alternative to heart transplantation.