Yes, teams change their managers too in ML ... managerial transfers are also shown as news bits, along with player transfers, rumors, etc. So, fingers crossed for your Van Gaal situation
Here are few screenies from my ML campaign in Liga BBVA - currently mid-season 3, but luckily I still had an older save file laying around. Atletico Madrid, CPU controlled :
1. End of season 2 (August 2017), Diego Simeone still being their manager, his departure announced - team spirit around 95
2. Mid season 3 (Day 20, January 2018) - new manager from the beginning of the 3rd season, Mark Iuliano, TS reaching 80, it has been lower when the season started
Different formations, different tactical requirements, quite similar starting eleven.