International Regens

Hi everyone, about to start on an international management save with a small country (haven't decided which one yet). Just wondering - I know that countries have a hidden stat that affects the quality of regens from that country - will this rating ever increase if I manage to climb the international rankings, and how quickly?

I'm asking this because I'm probably not going to manage a local club side simultaneously (like some of you do) which means the local league of whichever country I'm managing will probably not rise in reputation too much. So I'm wondering if there's another way (like increasing the country's ranking) that will allow it to produce better quality regens eventually.

Thanks!