Per the recent Wikistrat online crowdsourced simulation on the North American Energy Export Boom, one of the summary conclusions was that China should aggressively invest in the US fracking industry (tight oil, shale gas). While the US attracts only a tiny share of China's total global FDI (foreign direct investment), when you look just at investments in oil and gas, recently North America has become the biggest Chinese target ($20B or so since onset of global financial crisis).
The key to overcoming US political concerns: keeping it to a minority investment.
Most estimates have Chinese shale gas reserves as equal to that of the US and Canada combined. Canada is #7 in the world and the US is #2.
The quintessential deal in the works:
Chinese firms now are attempting to negotiate partnerships with FTS International, a Fort Worth, Texas, company that specializes in hydraulic fracturing, a process used to extract energy from shale, according to one person familiar with the matter. FTS, which is owned by Chesapeake [already in deals with Chinese firms] and a consortium of Asian investors, would use proceeds from any deals to expand internationally, this person says.
That is right out of the win-win scenario ("Cooking with Gas") from the Wikistrat sim: encourage Chinese investment so super-energy hungry China can dramatically upgrade its capabilities and tackle its own shale gas challenge, but do so in a way that accelerates the internationalization of the US fracking technology via US firms.