Comparative Discourse Analysis (CDA) is a prominent interdisciplinary field that explores language use, power relations, and social practices within various contexts. Teaching CDA to university students requires innovative instructional approaches that foster critical thinking, analytical skills, and intercultural competence. This article presents a comprehensive review of existing literature and proposes effective ways of teaching Comparative Discourse Analysis to university students. By incorporating a combination of theoretical frameworks, practical exercises, and real-world case studies, educators can equip students with the necessary tools to navigate complex linguistic landscapes and contribute to the advancement of social sciences and humanities.