"Wait for the Boss to return from his assignment" is an objective in the mission Welcome to Atlantic City in Omerta City of Gangsters
Walkthrough
The boss will be going to this building:
to talk to the Informant
While he is performing this task, there will be a lock icon on his avatar meaning he is unavailable for other Assignments.
Once you is done, a green check mark ("V") will appear over his portrait. Click on the portrait to complete the action.