It is not currently possible, but there's an open suggestion you can vote for:
We have found that the most disturbing thing is that the signature of that email is the project's name, which, as it's normally the name of the company of the customer who opened the request, it is completely misleading.
However, the name of your service desk portal (and the signature of that email) can be changed by editing its name here:
In our case, we normally change the name from 'Company' to 'Company's Service Desk'.
Just the FAQs! Welcome to the Community, and this Focused-FAQ! Here, we've pulled together some of the most frequently asked questions associated with Jira Service Desk (JSD). We hope ...
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