If you are interested in the truth the facts are quite clear.
It appears that the Chinese are or were in negotiations to buy existing Gulf of Mexico leases which are currently help by a Norwegian company. So yes, there is nothing new about foreign companies owning offshore leases in US territorial waters.
And the Cubans have been attempting to make a deal with foreign interests including those in India and China for oil exploration within Cuban waters. However, it does not appear those deals have been finalized and none of the said exploration has taken place.
And if it does, the drilling would take place in Cuba’s territorial waters, looking for Cuban oil and there is not a damn thing we can do about it.
Some of the articles I read suggested that they were also interested in slant drilling which might take oil from under our waters, wouldn’t it?