Since March 2020, the world has been impacted by the COVID-19 pandemic, which resulted in sudden school closures and a rapid transition from traditional face-to-face education to a new model of online learning and assessment. The present study analyzes two cohorts--primary-school EFL teachers and students' parents--regarding the perceptions they have had and the challenges they have faced when assessing young EFL learners online during COVID-19. A specific aim of the study is to identify primary-school EFL teachers' perceptions of the online methods used in assessing young EFL learners in the Riyadh region of Saudi Arabia. The research follows a quantitative method involving a convenience-sampling method for the selection of the study's participants. A total of 34 primary-school EFL teachers and 20 parents of young learners who are studying online in primary public schools were the main participants of the study. The researcher used a survey-based method involving a five-point Likert scale to collect data from the participants. The surveys were distributed online via the social-media application WhatsApp. The statistically analyzed responses yielded two types of descriptive statistics: frequencies, and percentages. The results show that both the teachers and the parents perceived online assessments as more convenient, fun and interactive than traditional paper-based assessments. Furthermore, both the teachers and the parents associated online assessments with serious challenges, such as cheating and technical problems. And teachers held positive views of various online methods and techniques for the assessment of young EFL learners.