Copying Nintex forms will make them available on the destination site. The forms will be copied when you copy their associated list or content type. ShareGate Desktop also allows the migration of Nintex Live Forms.
ShareGate Desktop supports the full migration of classic Nintex Forms from SharePoint version 2007, 2010, 2013, 2016, 2019 or Microsoft 365 to SharePoint version 2010, 2013, 2016, 2019 or Microsoft 365. ShareGate Desktop does not transform SharePoint Designer and Infopath forms to Nintex Forms.
ShareGate Desktop only supports migrating responsive Nintex forms from a Microsoft 365 environment to another Microsoft 365 environment.
To migrate a Nintex form associated to a List, you can follow the procedure detailed here.
To migrate a Nintex form associated to a Content Type, you can follow the procedure detailed here.