The connections among fossil fuels, green bonds, and investors have undergone a substantial alteration due to the daunting difficulties posed by climate change risks and energy problems. This study employs quantile connection approaches to the dynamic spillover. The results indicate that extreme quantiles exhibit a higher degree of connectivity compared to the average quantile. In severe circumstances, risk spillover primarily emanates from fossil fuels, whereas investor sentiment (IS) is more vulnerable to the impact of related market hazards. The green bond (GBI) experiences a transition in its function, alternating between being a transmitter and a receiver. To summarise, comprehending the interrelation among these variables offers fresh perspectives for investment decision‐making and policy development to facilitate the shift towards sustainable energy and tackle the climate emergency.