Hi @Aleksey welcome to the Atlassian community.
These are the general steps I follow with Assignees, task and sub tasks. I'm sure your query falls under one of these scenario's.
Path 1: I create a Jira task/ story and assign to the assignee. If there is a dependency on that main task/ story, I create sub tasks and assign to new developers. Then in the Jira task comments section, I would tag all the assignees + the sub task should be closed only by approvals from the main task assignee.
1. This way the task/ story and sub task completion can be marked for DoD (definition of done).
2. The main task owner will have complete control and observation on all the child Jira issues.
Path 2: If the Jira main task/ story owner would like to observe other child tasks (sub tasks), then he may choose to link to the main task and tag all the assignees in the comments section for transparency.
Path 3: If the main Jira task owner is also the Jira project admin, then irrespective of who ever is working, he will be notified in his inbox.
Path 4: Keep clicking on watch this issue, to be notified in the inbox.
I hope I'm clear with flow. Please stay safe and stay healthy.
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