Plants Vs Zombies is free again, but if you use Hola Unblocker and set it to the US, you can get
Syndicate on the house.
If EA allowed people to redeem cheaper Mexican versions of DA:Inquisition on Origin using Hola, I don't think they care about you using it for a game that they're giving away for free.
Although, if something happens, don't blame me, because I'll be in the same boat.
EDIT: The Origin rep on reddit clarified as to why the game isn't available in France. The only reason why it isn't available on our store, that I can think of, is because the FPB hasn't rated it yet.
"Ah, unfortunately we're not able to offer Syndicate in France due to local language laws (the restriction is because the game doesn't offer French translations and localization). That's why you're seeing PvZ on the On the House page right now rather than Syndicate.
This was the same case with Theme Hospital, as it didn't have French localization as well.
Sorry for the trouble, this one's unfortunately complicated."