In the past, I've mostly reported to easy-going managers with flexible work styles.

Work places with flexible working styles make the working conditions feel more at ease and can bring the best out of the workers. When those workers change positions and have to face new working conditions it can be very difficult to adjust. In the case of the context of the question, the interviewee was most likely telling the a human resource personnel about the working conditions of his or her previous place of work.