PurposeThe climate crisis presents a global threat. Research shows the necessity of joint communication efforts across different arenas—media, politics, business, academia and protest—to address this threat. However, communication about social change in response to the climate crisis comes with challenges. These challenges manifest, among others, in public accusations of inconsistency in terms of hypocrisy and incapability against self-declared change agents in different arenas. This increasingly turns public climate communication into a “blame game”.Design/methodology/approachStrategic communication scholarship has started to engage in this debate, thereby acknowledging climate communication as an arena-spanning, necessarily contested issue. Still, a systematic overview of specific inconsistency accusations in different public arenas is lacking. This conceptual article provides an overview based on a macro-focused public arena approach and decoupling scholarship.FindingsDrawing on a systematic literature review of climate-related strategic communication scholarship and key debates from climate communication research in neighboring domains, the authors develop a framework mapping how inconsistency accusations of hypocrisy and incapacity, that is, policy–practice and means–ends decoupling, manifest in different climate communication arenas.Originality/valueThis framework creates awareness for the shared challenge of decoupling accusations across different climate communication arenas, underscoring the necessity of an arena-spanning strategic communication agenda. This agenda requires a communicative shift from downplaying to embracing decoupling accusations, from mutual blaming to approval of accountable ways of working through accusations and from confrontation to cooperation of agents across arenas.