The effects of coronary revascularization in patients with left ventricle systolic dysfunction (LVSD) are not well studied. The decision about revascularization and its timing remain challenging, not only related to procedural risk, but also linked to other several limitations including assessment of ischemia, viability, and ability to predict LV recovery. The role of viability as a prognostic marker for patients with LVSD and its use as a therapeutic target remains debatable. In this article, we will review the role of LVSD in patients undergoing coronary revascularization alongside the role of ischemia and viability assessment. We will provide a review of the literature on the outcomes of coronary revascularization, both surgically and percutaneously, in patients with LVSD.