ICT is no longer simply be a supporting tool, but as an integral part of the business itself, a strategic role. As well as for the education area, higher education institution (HEI) is one-of that use fairly large of the ICT solution. Since there is a positive correlation between ICT usage and economic growth potential, arising new issues to the environment. There is an urge to balance between the usage of ICT and environmental awareness. Indonesia as one of the emerging economic powers want to participate in the greening movement, but the problem arises when there is still no formal regulation / framework yet. Furthermore, ICT also has not been seen as one of the aspects that need to be given a special attention in greening movement. There are several frameworks available for green-IT, but the question is how can we adopt it for HEI case in Indonesia? This paper as a preliminary study, try to correlate one of the green-IT framework, named G-readiness framework with ZEN framework, an Indonesia national framework for ICT adoption in HEI. The study found that both the frameworks are mutually relevant. The derived model use 5 domains of G-readiness that represent critical success factors for green-IT initiatives correlate with ZEN framework attributes as practical implementation checklist. From the correlation process, we add one new domain, named 'Value', so the derived model has total six domains (Attitude, Policy, Practice, Technology, Governance and Value).