Due to the COVID-19 pandemic, as well as the fast progression of modern society, occupational stress has recently reached alarming levels with consequences for doctors’ psychological well-being. The aim of this study was to analyze the relationship among emotional stability, psychological well-being, and life satisfaction of medical doctors. We conducted a cross-sectional study on 280 medical doctors from Romania between February 2021 and September 2021, in the period between the third and fourth pandemic waves, who were evaluated by the DECAS, ASSET, and Satisfaction with Life scales. Our results showed that emotional stability is negatively correlated with psychological well-being (r = −0.526, p < 0.000) and positively correlated with life satisfaction (r = 0.319, p < 0.0001). Between psychological well-being and life satisfaction, we found a negative correlation (r = −0.046, p < 0.001). This study shows that there is a correlation among emotional stability, psychological well-being, and life satisfaction, which is why it can be considered that Romanian doctors have generated coping mechanisms during the COVID-19 pandemic.