CIA director John Brennan is either lying or is ignorant. As head of the CIA, we can assume he knows a lot about cryptography so he probably isn’t ignorant.
According to cryptography expert Bruce Schneier, CIA director John Brenna testified:
“US companies dominate the international market as far as encryption technologies that are available through these various apps, and I think we will continue to dominate them,” Brennan said.
“So although you are right that there’s the theoretical ability of foreign companies to have those encryption capabilities available to others, I do believe that this country and its private sector are integral to addressing these issues.”
Details are available in Bruce Schneier’s Schneier on Security web site at https://www.schneier.com/blog/archives/2016/06/cia_director_jo.html.
It is strange that John Brennan would make such statements. US companies certainly do not “dominate” cryptography. In fact, there are more cryptography products produced outside the US than inside. See https://www.schneier.com/blog/archives/2016/02/worldwide_encry.html.