Decarbonization is the most important challenge of our time. Though quite modest, states are taking more climate action. How should we approach these efforts? Sociologists have paid less attention to decarbonization overall but frameworks in political sociology can make sense of state power and climate politics. In this review, I first discuss two sets of literature. The first extends “state‐capacity” and institutionalist frameworks. The second is based on radical and Marxist state theories. Following this, I draw from Mann's concept of “infrastructural power” which combines elements of both and can situate state power in a transnational context. Using this concept and recent literature in political economy, I discuss three infrastructures—finance, trade, and energy—and consequential ways states have altered them in recent years. These actions reveal profound geoeconomic contradictions which will undermine decarbonization. Together, this review provides a wide survey of state theories and macroscopic climate politics with the hope of spurring further discussion and debate.