Purkey, by what authority does the US govt have the right to dictate to other countries how much oil they should produce out of their own domestic sources?
Bottom line, we don't have the ability to force any other country to reduce, increase or otherwise involve ourselves in how they manage their own resources, besides some "friendly" suggestions.
Nearly every trade agreement concerning "oil" in the WTO agreements (or the GATT predecessor) prevents the US from varying tariffs, and effectively blocks us from taking unilateral action against other member nations without violating the agreement itself. (Nor can we take action to protect or subsidize our own domestic industry without violating the trade treaties we have in place.)
In the past, the most consistent complaint by the US Govt (since the 1973 US "oil crisis") has always been that the OPEC nations and their allies have stifled production, creating a "false" shortage that kept prices artificially high. With that 40+ year track record, it would be kind of hard at this time to turn around and argue exactly the opposite: that the various crude oil/natural gas producing members of the WTO should in fact lower production to help the US oil/gas industry.
If you can think of a way that our government can impact trade policy to assist our domestic oil/gas industry at this time, without running completely afoul of our treaty obligations under the WTO I would certainly be open to listening to them. But how can you "negotiate" anything, when the other side knows you have virtually no power to make any demands in such negotiations?