Recently, scientific theories on career satisfaction (CS) have been promoted worldwide. Research on the subject has become more and more popular, especially during the COVID-19 pandemic. This study adds to the existing literature by investigating the impact of organizational support on career satisfaction through the mediation role of job crafting and work engagement among Chinese teachers. A diverse sample of teachers (n = 3147) was drawn from various schools in Zhejiang province (P.R. China), from June to September 2021. SPSS 26 software with PROCESS macro and JASP was used to analyze the data. The findings demonstrate that perceived organizational support (POS), job crafting (JC), and work engagement (WE) have a significant and positive relation with teachers’ career satisfaction. POS was serially associated with JC (b = 0.34, p = 0.001), CS (b = 0.40, p = 0.001), and WE (b = 0.49, p0.001). The residual direct pathways for JC → CS (b = 0.55, p = 0.001, 95% CI = [0.51, 0.60]) and for WE → CS (b = 0.47, p = 0.001, 95% CI = [0.44, 0.50]) were significant. Sequentially, JC and WE mediated the relation between POS and CS. The multiple mediation model supported our general hypothesis that JC and WE mediate the relationship between POS and CS.