Hello,
Thank you for reaching back.
Unfortunately, there isn't any other way to accomplish what you are trying to do using the dropdowns, however, you can try using two text boxes instead of dropdowns and that way the system or the recipients can enter the Country's name as well as the State manually.
If your envelope is using DocuSign API, we have a Developer Community that you can access by clicking the link below:
https://developers.docusign.com/support/
From the Developer Support homepage, you’ll be able to submit questions to DocuSign devs and customers via Stack Overflow and create a Support case that will go directly to a qualified developer for assistance.
Let us know if you need further assistance with this.
Best regards,
Nathaly | DocuSign Community Moderator
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