PurposeThis study introduces a non-orthodox approach to the dominant policy-based approaches to graduate employability through contextualizing international students' everyday experiences within their educational and wider structural contexts of the labour market.Design/methodology/approachThe study used narrative frames to collect data from 180 international students from China, Hong Kong, India, Sri Lanka, Vietnam and Nepal at a New Zealand tertiary institution. Narrative frames as a research tool in educational contexts are used to ellicit the experiences of individuals in the form of a story as participants reflect on their experience. The frames use sentence starters to draw responses from participants about their experiences (Barkhuizen and Wette, 2008).FindingsThis study argues that, through a socialization process, international students develop identities that fit an ever-changing labour market. This process is catalysed by a higher education landscape that produces career-ready subjects capable of appropriating different social spaces that prepare students and graduates to enter the labour market. Further, it argues that graduate employability should be understood as a complex process through which students and graduates socialise themselves through negotiating the socioacademic spaces by (1) familiarising themselves with the dominant workspace norms, (2) positioning themselves as more career-ready individuals, and (3) imagigining employable selves capable of meeting the needs of the job market.Research limitations/implicationsThis study has limitations. Only one data collection source has been used. It would have been great to use narrative frames along with interviews. In addition, the data would have been stronger if the researcher could have used classroom observations, which could be a future initiative.Practical implicationsThis study could provide practical insights to tertiary institutions about international students' developing capabilities and identities