War is theoretically subject to the laws of armed conflict but, in practice, it brings in its wake war crimes, crimes against humanity, genocide, and the crime of aggression. The parties to an armed conflict are unable and/or unwilling to hold the perpetrators of these crimes (oftentimes their own citizens) to account. Part of the rationale for establishment of the International Criminal Court was to offer a way forward in this regard. Yet the suspected war criminal – even the political leader of the aggressor state – must be apprehended and brought to The Hague so that he may face the Court. This is no easy task, thwarted by a variety of formal, factual, and political obstacles; all too often, the idea of a supranational justice system presided over by the International Criminal Court proves illusory, if not fictitious. In this article, these points are discussed in reference to the crimes being committed against the Ukrainian population by the Russian aggressors.