This study explores the mediating role of e-satisfaction during the pandemic on the relationship between e-service quality and e-loyalty of banking customers in Pakistan. The data were collected from 442 customers of online banking services in Pakistan during the Covid-19 pandemic, following a survey-based study. Baron and Kenny (J Personal Soc Psychol, 51(6):1173, 1986) and Preacher and Hayes (Behav Res Methods, 40(3):879-891, 2008) mediation technique which utilizes the bootstrapping method has been used to explore mediation. The findings show that e-service quality has a significant positive effect on the e-loyalty of the customers of online banking services. Relationships between e-service quality and e-loyalty of online banking customers in Pakistan are significantly and fully mediated by their online satisfaction in unusual situations. This study would help the bankers to implement more effective marketing strategies to retain their customers and attract potential customers, particularly during non-normal situations like the Covid-19 pandemic. It will help them identify the areas of e-services that need improvement to enhance the satisfaction and loyalty of the customers. The bootstrap method for mediation along with Baron and Kenny (J Personal Soc Psychol, 51(6):1173, 1986) leads to using a more sophisticated methodological technique to explore the mediation. The Oliver Expectancy-Disconfirmation Paradigm (EDP) in electronic banking setup during non-normal situations like the Covid-19 pandemic also served as a unique contribution to this study. Application of Baron and Kenny (J Personal Soc Psychol, 51(6):1173, 1986) mediation along with Preacher and Hayes (Behav Res Methods, 40(3):879-891, 2008) leads to more robust findings for the study in non-normal situations like the Covid-19 pandemic. The study findings add scientific value as they are applicable to the banking sector in particular in non-normal situations like the Covid-19 pandemic and the overall service sector in general. Further, as two different methods of mediation have been employed and this makes the study more rigorous and scientific.