The deep technological and social transformations undergone by modern societies in the last few decades, along with the increasing demands for adaptation associated with the COVID-19 pandemic, have imposed unprecedented challenges on employees in terms of balancing competing demands both from work and family domains. This study examines the moderating role of personal, family, and job resources on the relationship between work–family conflict (WFC) and emotional exhaustion in Argentina. The hypotheses are tested in a sample of 317 workers contacted through a networking approach by using hierarchical regression techniques. The results showed that both personal and job resources are relevant to understanding individuals’ differential responses to WFC. More specifically, the findings revealed that core self-evaluations indeed moderated the relationship between family-to-work conflict and emotional exhaustion, whereas supervisor support was found to buffer the effects of work-to-family conflict on emotional exhaustion.