I'm applying to open vacancies in other countries and have been through several hiring processes by now where at some point I'm asked whether I have a work permission in that country. If I don't I simply tell them that I would need a visa sponsorship, but at that point all communication usually stops. Some reply back with a rejection, most don't reply at all.
now my country has agreements with some of these countries where I can get a work permit as a contractor or sub-contractor. This involves considerably more effort on my part (establishing a business plan, having proof of sufficient savings, ...) but it's something I'm willing to do if the company doesn't want to sponsor a visa.
So if I'm asked about my right to work in another country in future, is it appropriate to answer with something like: “I don’t have but If we can get through the terms and have an agreement on the vacancy, I can work as a contractor or sub-contractor. Other than this, I will need a visa sponsorship.”