The field inside iTunes Connect that you link to usually shows the username and company in the following format:
Joe Bloggs, Example Corp
Since you are a person registered for the developer account, and not as a company, your name is double-filled in the field above.
If you want to change this to the name of the company, you need to contact Apple (the phone is best suited for an immediate response and initiate the launch of the process "Appointment of the developer of the program for iOS") and let them know.
You will receive an email with the above name, in which you can log in and provide relevant information, which will include a facsimile copy of the company registration certificate and (sometimes) company letterhead with additional information that Apple may or may not request.
Find your country's contact number here:
https://developer.apple.com/contact/phone.php
Hope this helps!
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