To identify and foster potential international entrepreneurs are important goals for entrepreneurship education. Based on the theory of planned behavior (TPB), we argue that International entrepreneurial intention (IEI) is a predictor of international entrepreneurship (IE). In addition, cross-cultural competences are hypothesized as antecedents to IEI and moderators of the relationship between TPB elements and IEI. We integrate two elements of cross-cultural competences (global mindset and cultural intelligence) in a TPB-framework to identify the drivers of students’ IEI. We analyze a sample of 84 students with OLS regression and moderation analysis. OLS regression results reveal no significant direct effects from cultural intelligence and global mindset on IEI. Moderation analyses suggest a negative, significant moderating effect of cultural intelligence on the relationship between personal attitude and IEI and on subjective norms and IEI. Therefore, simply enhancing global mindset and cultural intelligence does not contribute to students’ IEI. More is required from entrepreneurship education, such as improving the perception of international entrepreneurship as a valuable career choice.