In some ways it could be said that such a system has been adopted in relation to Puerto Rico. It is rather a complicated political setup but it seems to be rules by America with a free trade area but without voting rights for the people of Puerto Rico to elect president or congress.

It could be said that the European Union expansion also extends a franchise model of government to member states. They agree to abide by European Laws and in return they can become part of a massive free trade area. Recently many countries have chosen to join the EU and more would like to in the future, suggesting a successful franchise model (if this is what you choose to call it).

The EU have sent 'management teams' to other European countries, notably giving Paddy Ashdown Bosnia to run as the High Representative for Bosnia and Herzegovina.

But there is a significant difference between these situations and the situation where one country runs another without the consent of the people. I should also point out the monumental failures of the World Bank and IMF to manage economies in the developing world, providing them with 'experts' who despite the best of intentions, have ruined more economies than they have helped.