Purpose: Data was obtained from students from 39 universities in 24 countries, part of a large experiential exercise, X-Culture, who worked remotely in cross-cultural teams to solve business problems. The purpose of this study is to develop and test, using structural equation modeling, a conceptual model that identifies the determinants of satisfaction with teamwork. Design/methodology/approach: Data was obtained from participants, students from universities from 39 universities in 24 countries, in a large experiential exercise, X-Culture, who worked remotely in cross-cultural teams to solve business problems. A conceptual model that identifies determinants of satisfaction with teamwork was developed and tested using structural equation modeling. Findings: Satisfaction with teamwork is related to cultural intelligence (CQ), team identity and team climate. Interestingly, CQ of individual team members does not directly impact satisfaction with teamwork. Team identification and team climate, variables that require personal engagement and goodwill, mediate the effects of CQ on satisfaction. Originality/value: Results suggest that team identification and team climate are important antecedents and explanatory mechanisms for developing satisfaction with teamwork. Having culturally intelligent team members is a necessary, but insufficient condition for satisfying teamwork. Therefore, to increase satisfaction with global virtual teamwork, teams need more than simply culturally intelligent team members. Increased satisfaction requires that team members identify with their team and develop a favorable team climate. The authors suggest education recommendations for global virtual teams.