This study delves into the GenAI academic integrity policies within tertiary education, with a special focus on international students. Through qualitative analysis of 131 policies from 11 countries, it aims to highlight the overlooked needs of these students amidst the rise of GenAI technologies. The methodology involves a document review and SWOT analysis to assess policy inclusivity. Findings indicate a significant underrepresentation of international students in policy considerations, despite their notable economic impact. This novel research pioneers in its specific focus on international students in examining the intersection of GenAI and academic integrity, revealing a critical need for inclusive policy reform. Despite limitations such as potential selection bias, the study's contributions lie in its call for a more equitable approach to policy development, ensuring international student voices are heard. It concludes with an urgent recommendation for HEIs to integrate diverse student perspectives to uphold academic integrity in the digital era.