Hey Srusith,
We do not have an out-of-the-box solution for your use case, however, there is a workaround from one of our customers mentioned here: https://community.atlassian.com/t5/Jira-Software-questions/It-is-possible-to-assign-an-issue-to-an-on-call-agent-in/qaq-p/1779277 which states:
Here is the automation rule I am using at my job.
When: Issue Created
Issue Type Equals
(your issueType here)
Then: Send Web Request
GET
https://api.opsgenie.com/v2/schedules/:scheduleIdentifier/on-calls
And: Edit Issue fields
Assignee to {{webResponse.body.data.onCallParticipants.name}}
You may try applying it to your Project and see if it works for you.
Best regards,
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