In recent years, the popularity of cyber exercises has significantly increased, positioning them as essential activities for the development of technical skills related to the detection, mitigation, and response to cyber incidents. However, to date, most of these procedures have focused primarily on building technical competencies and have been designed exclusively for expert cybersecurity audiences, neglecting their potential application in training novice and non-technical teams. This paper aims to address these gaps by presenting an overview of cyber exercises oriented toward the development of both strategic and technical competencies for cyber crisis management. By considering the evaluation of psychological variables such as mental workload, situational awareness, and presence as well as behavioral indicators, this article offers a critical reflection on the design and content of such exercises.