When you upload/download to/from datastore ESXi 6.5 (...and above), the status is shown in "recent"/ progress bar so you can close Datastore browser window after initiating
However, this recent window only shows current session. When you log off, transfer continues, and when you log back in all recent events have been cleared.. The only way i know is by checking datastore browser and keep "refreshing" to see file size change..
Is there a quicker way, or somewhere to show current progress across all sessions, not just current one?