This paper examines the relationship between climate movements and states in climate governance, suggesting that movements may improve their political output by adopting a sovereignty-based, democratic framing of their agenda. The ambivalent attitude of climate movements and Green Deal supporters concerning the desired role of states is reconstructed. Moreover, a multidisciplinary review of the literature supporting a "return of the state" in climate politics is offered. Drawing on the critical literature on neoliberal environmentalism and the role of states within globalization, as well as considering issues such as equality, accountability, and scale of the transition process, this paper advocates for a non-nationalistic, democratic understanding of sovereignty as crucial for an efficient and fair green transition. It particularly emphasizes the need to revive the distinction between public interest and private gain and provide a bridge between subaltern agendas and climate movements' goals in order to successfully envision a post-neoliberal climate governance model.