With the fact that studying abroad has gradually become the priority choice for students to pursue higher education, the number of international students is undergoing dramatic growth. However, little is known about the entrepreneurship of this growing group. Moreover, a considerable number of researchers propose that entrepreneurial self-efficacy is one of the critical factors that influence individuals to make entrepreneurial decisions in the entrepreneurial domain. Therefore, this paper takes a group of international students as its research object to explore the impact of the four capability dimensions of entrepreneurial self-efficacy on entrepreneurial intention (EI) and its relationship with demographic characteristics in the Hungarian context. The four capability dimensions tested in this study include operation and management capacity (OMC), relationship coordination capacity (RCC), risk tolerance capacity (RTC), and innovative and opportunity identification capacity (IOIC). To test the hypothesis in this paper, the hierarchical regression and independent samples t-test are used. The results show that OMC, RTC, and IOIC have a significant impact on the EI of international students, but RCC has not been confirmed. Additionally, the demographic characteristics of international students are associated with their EI in the context of Hungary. This finding contributes to adopting more effective and comprehensive entrepreneurial practices for relevant institutions.