If you want to receive notifications and get updated about a task's progress, even though the task is not assigned to you, you can add yourself as a Watcher.
Watchers of a task receive notifications about new comments on the task as well as changes to the task status, such as completion. So if a task is not assigned to you, but you'd still like to stay in the loop about its progress, becoming a Watcher is the way to go.
Become a Task Watcher:
By default, every user who participates in a task is automatically added as a Watcher. This happens when:
- You create the task and assign it to somebody else
- You are mentioned in a comment on the task
- You comment on the task yourself
- You set a due date for the task
You can also add/remove yourself as a Watcher. To do this, open the task dialog and click the Watch (Eye Icon) on the top-right side of the dialog. You are also able to add others as Watchers if you mention them in the task comments.
If you want to get notified about all tasks in a project, you can simply watch the entire project. Here's how.