The US has gigantic food markets just the same, what's your point? More than likely the gigantic food markets is majority sourced from the US somewhere. The fact that fast food places may serve drastically different things in other countries is simply a supply issue, it maybe cheaper to supply locally than from some huge farm, but I found this to be rare and in certain areas only. More than likely fast food joints will still be serving GMO heavy food from the US due to it being cheaper, considering the US exports the vast majority of the worlds food supply. You'd be surprised how much food is imported in the EU from the US. If it's chicken, highly likely it came from the US. Paying $3 per a pound of chicken versus paying $10 - $15 per a pound from the local market, huge difference there. All the anti-GMO talks stops there when some little French shop owner gasps at trying to sell chicken for $30 and trying to justify the price to the poor French people.
Most of the anti-GMO lobbying in the US is causing a huge price fluctuation of food around the world, which is why a lot of places are extremely expensive. It's not as pronounced in the US and many Americans don't notice (Since everything is literally local here), but on the export market, it's having a huge impact.