Cloud computing offering such as unparalleled flexibility, cost savings, and scalability has changed the way companies manage their IT resources and IT ecosystem. Conversely, with rapid adoption of hybrid and multi-cloud architecture, cloud ecosystems have become more complex. It has become extremely challenging to manage Cloud to keep up to date with the rapid pace of technological innovation and ever-changing business dynamics.Power of Generative AI (Gen AI) provides a much needed and new approach for cloud infrastructure management. Contrasting traditional rule-based automation, Gen AI enables systems to constantly learn from data and make independent decisions, providing a path towards self-optimizing, self-healing cloud environments. Leveraging Gen AI in cloud infrastructure management, companies can also reveal new levels of performance, security, and resilience, apart from improved operational efficiency. The purpose of this paper is to discover how Gen AI can be best harnessed to cloud infrastructure management, focusing on key scenarios and to recommend strategies for implementation.