Follow the below settings if outlook is not connecting once mailbox is migrated to Office 365.
If Option 1 is not working please
follow Options 2.
Option 1:
Open Internet explorer Go to Tools Internet Options Connections LAN
Settings
Enable on Automatic Detect settings.
Option 2:
Open Internet explorer Go to Tools Internet Options Connections LAN
Settings
Enable the proxy & enter the location proxy Enable the
Bypass proxy Click on Advanced
under exceptions, add the below address Click OK.
outlook.office365.com;
Applies to: Office 365, IE 10, IE 11.