Globalisation covers a lot of things, not just corporations. It's just as responsible for getting aspirin and antibiotics to the middle of Africa as McDonalds. Probably most important is the globalisation of culture.
Africa has a pretty terrible culture in many ways, and is resistant to change because worship of tradition is part of that culture. Not knocking Africa, tradition was a vital part of most societies up to a point. Prior to the industrial revolution in Europe, there was little progress because most progress wasn't scientific - if someone made pottery slightly differently, it probably cracked or failed. If they forged metal differently it was useless. Changing how you made bread or raised cattle or whatnot almost always resulted in problems. That's because nobody actually understood why doing things the traditional way worked, they just knew it did, so any change became ingrained as something to be avoided.
There was still progress on occasion, but that was still the exception, and often rejected by most people as long as possible. This notion changed first in the New World, as there was no "tradition" (or what there was wiped out by the settlers and their plagues), and came back to the colonizing European countries. Eventually it spread through political conquest, economic forces, and sometimes voluntarily (Japan was an early adopter of some Western attitudes), but the idea of constant improvement through change is not global yet. In particular, it's still rejected by the general population in Africa and the Middle East, even as they develop economically.
This is why those in power, or seeking power, are only interested in the power itself (or prestige), only benefitting those closest to them first, and their country and society last - and brutallly suppressing all opposition. And people don't really mind because they just expect this to be the normal thing - it's their culture, how it's traditionally been done.
This is where globalisation of culture helps - by showing that there are alternatives, and what the benefits are. Even if it doesn't convince the adults, the next generation grows up knowing there are alternatives, and they're willing to change. Little known fact, Iranian people in general are among the most pro-American in the Middle East, because they've experienced an entire generation of an anti-American government oppressing them, yet have been able to learn that it doesn't have to be that way (that's simplified, but essentially correct - the Iranian government is terrified of their own people being fed up, and a war with America is probably the best thing that could happen to them to keep them in power).
A big difference between Africa and the Americas is that natives in the Americas were wiped out by plagues shortly before European settlers moved in - huge pandemics that made Europe's Black Death look like allergies. If this hadn't happened, settling the Americas would have been like colonising Africa, at least in the populated coastal areas. Cultural traditions were lost. In Africa, this didn't happen, and male-dominated, tribe-oriented, and superstitious traditions remain the norm to this day.
Globalisation will inevitably change this, and for the better. That's what will eventually allow Africa to develop, organize, and improve the lives of its people.