In the modern era, space infrastructure acts as a vital node in numerous sectors impacting generations making it a critical infrastructure. Thus it proves to be a crucial and effortless target for any nation during cyber warfare. The role of Cybersecurity and Infrastructure Security Agency (CISA) in identifying the critical infrastructures so as to check the necessary requirements and rectify the weaker points. This review study focuses mainly on the study of variant categories including critical infrastructures across the globe. The essence of this study points towards the shortcomings of the space infrastructure including the ground, space and link module cyber threats. The study also points out Common Vulnerability Exposures (CVEs) to discover a potential threat and assess the magnitude of risk. This study, therefore, presents a meticulously drafted methodology that identifies concerns, module threats, and case studies of cyber threats and suggests recommendations for space infrastructure protection from different space agencies across the globe for their better management. Thereafter, the review propounds generic solutions to mitigate cyber threats to space infrastructure. The study tries to bring the focus on the area of space infrastructure, that, according to this review study, should also be considered as a focal area under the broad umbrella of categories of critical infrastructures.