Let's see...
First order of business, fire virtually all of the top management. Most notably John Riccitiello. The guy's evil and detrimental to not only his own company but the industry as a whole.
Second order of business, fire EA's current PR team. Every time they put their minds together something awful, childish, and insulting comes out. They'd need to go.
After that, it would be a matter of rebuilding.
First I'd start with making a promise to the share-holders. (bare with me here) I'd explain that the company was founded on the ideals of making games gamers want to play. That the goal was to make games engaging and fun as well as investing in new and intriguing ideas instead of just watering everything down to appeal to a wider audience. And, though the company has veered FAR off course from that ideal, I would do everything I can to bring it back to that. Even if it means completely reorganizing the company.
Immediately after, I'd get our new PR department to begin the arduous trek towards rebuilding our image among gamers. It would start with a solemn apology for all of the egregious bullshit (not quite how it would be worded, of course) this company has perpetrated for the past few years. Then, I would state that I would make it my top priority to rebuild the company in a way that not only let's developers develop the games THEY want, but also makes it a priority to concentrate on the costumers wants and needs first and foremost.
I'd then work towards restructuring any and all contracts made with in-house and ancillary development studios currently under the EA label. In basic terms, the devs would have more freedom in the creation process but it would come at a heavier cost to funding. I.E. if one of their projects ends up being a severe flop, the funding for their next project would be cut drastically, if given funding at all.
This way, they'd be free to be as creative and unique as they want, but the responsibility of making a game gamers want is all-but squarely on their shoulders.
Another change high up on the "to do" list would be a complete redesign and rebuild of Origin, as well as virtually all of our online services and feature-sets. I'd have my crack team of designers and engineers start working on more user-friendly features and functions, as well as less obtrusive DRM feature-sets. I'd also have my design team brain-storm ideas for new player and developer incentives in an attempt to bring more people into the service.
Beyond that, there're only a few minor thing here and there that I'd change.
Would my ideas work? Hell if I know. But honestly? It's not like it could be any worse than what EAs current management/owners are doing, right?