The De Gaulle had its issues, but they were mostly sorted out by the end of 2001. It's a genuine and proven class of nuclear powered carrier belonging to one of the two countries that operate them, and the other definitely isn't interested in selling. Honestly if the French would go for it I suspect they'd try to do what Russia did with the Mistrals, buy three or four hulls and do the first two in France then build the last in China with French help so they could get the knowledge. China was so far behind in naval construction and infrastructure in the mid-2000s that they simply couldn't do it themselves with licensed components, they would need someone else to do the whole thing first in a dedicated facility while they learned.
The question is whether France would go for it. I'm honestly not sure. They give the impression of being pretty mercenary in who they sell weapons to. I mean selling Mistrals to Russia and key aircraft-carrier building knowledge with them when you're a NATO member, then not canceling the deal for months after Putin invades Crimea is a pretty bent thing to do. China is on the other side of the world and they aren't bound to any treaties that oppose them. I'm leaning towards thinking they'd do it, especially during the 2007-2009 global recession when it would be pretty hard to turn down something that would support so many jobs and so much revenue.