Satisfaction, in relation to care received, is a good indicator of quality of care. The objective of this study was to analyze the degree of satisfaction with childbirth and postpartum care as reported by women from one hospital in southwestern Spain during the COVID-19 pandemic. Factors that influenced care were also examined. A cross-sectional study was carried out between the months of October 2020 and February 2021. Satisfaction was measured through the COMFORTS scale, validated in Spanish. A final sample of 116 women was included in the study. The mean age was 32.08 (±4.68) years. A total of 111 (95.69%) women were satisfied or very satisfied with the care received. The median satisfaction score was higher among multiparous women (187 (199–173)) than among primiparous women (174 (193–155.50)) (p = 0.003). Differences in satisfaction were found as a function of the use of epidural analgesia, being higher among women who had planned its use but ultimately did not use it (188 (172.50–199.75)) or who planned its use and did (186 (169.50–198)) than among those who had not planned to use epidural analgesia but ultimately received it (173.50 (187.50–146.25)) or those who did not use it, as planned, before childbirth (172 (157–185)) (p = 0.020). Overall satisfaction rate between SARS-CoV-2-negative women assisted was high. Parity and use of epidural analgesia were two factors influencing satisfaction scores in our sample.