The website below provides a comprehensive overview of tools used to measure various aspects of intercultural competence.
These are sorted into tools for individuals, for teams, for leaders and management, and for organizations.
https://www.digi-pass.eu/how-to-measure-intercultural-competence
It is to note that the most prominent tool in educational research is the IDI; Intercultural Development Inventory.
The Intercultural Development Inventory®, or IDI®, is a widely-used assessment of intercultural competence, with over 60 published articles and chapters and over 66 Ph.D. dissertations.
The IDI is available in two different versions: one for use in educational institutions and the other in all other organizational settings.
Each version is customized with different demographics questions as well as customized analysis of individual and group profile results.
Below are videos about the IDI