The recent transformation caused by the COVID-19 pandemic crisis drives the world economy to an accelerated mutation. This chapter focuses on how the current developments affect the various socioeconomic organizations and systems and how they can adapt to this new emerging reality. To this end, relevant forecasts on the current pandemic crisis are examined. Τhis crisis seems to cause the acceleration of the Fourth Industrial Revolution, functioning as a catalyst of the structural changes also observed in the working environment. The chapter suggests that all socioeconomic organizations (irrespectively of their size, spatial reach, and sectorial focus) are called upon nowadays to readjust themselves and that innovation is the fundamental generator for exiting the ongoing structural crisis. However, innovation unavoidably creates significant changes that socioeconomic organizations must manage effectively in the foreseeable future, according to a new way of perceiving organizational resilience and adaptability for the post-COVID-19 era.