The coronavirus pandemic and associated move to online learning for students in higher education has been disruptive and challenging. We report on the New Zealand arm of an international survey of higher education students (n = 147). Using quantitative and qualitative data from the survey, we find that students coped reasonably well with the disruption to their studies and were generally satisfied with how their lecturers and institutions responded to unanticipated lockdowns. In comparison with the global sample, New Zealand students demonstrated a higher level of satisfaction. New Zealand students reported the highest satisfaction with recorded video lectures, whereas the global sample preferred real-time teaching. Many New Zealand students felt that their studies were negatively affected, and vulnerable groups such as students with low financial resources were the most severely affected. Moreover, students reported a range of negative emotions during lockdown that suggest mental health impacts may be a concern. Our results indicate that clear communication from authorities, reducing the uncertainty for students, and ensuring that vulnerable groups are appropriately supported, may be the best avenues to reduce negative impacts on students during future significant disruptions to study, whether pandemic-related or otherwise.