I believe this will happen during the Tribulation, via the 144,000 and the two witnesses. But he's right that we are so very close right now, and never had these kind of means until now.
The Gospel Preached Throughout the World – When asked about the end of the age and the signs of His coming, Jesus said to look for a very specific sign. He said the Gospel will be preached throughout the entire world. Every nation will hear it. And then? And then, the end will come (Matthew 24:14). For centuries after the crucifixion, the Gospel was confined to a small area surrounding the Mediterranean Sea. In the past two centuries, Christians have brought the Gospel to every nation in the world. Today, missionaries are in every nation. The Bible is translated in hundreds of languages, and the message of Jesus is sent around the world by radio, TV, satellite, and the Internet. This generation is on the verge of spreading the Gospel to every last person on earth
The complete fulfillment I believe is finished here:
“And I saw another angel fly in the midst of heaven, having the everlasting gospel to preach unto them that dwell on the earth, and to every nation, and kindred, and tongue, and people,” (Rev 14:6)
and then the end will come.