I don't agree with that. It's possible that they based the idea on 2 Pet. 1:4 that says we become partakers of divine nature. But I think this is misunderstood. It doesn't make us divine, but rather "partakers" means that we receive from God's divine nature, and that makes us godly.
The Eastern Orthodox churches teach that idea, and it's called 'deification.' Except the way they seem to describe it is like my conclusion, that we become godly people in character, not gods. But there might be controversies among them, as I am not widely read in their circles.
If you want to know more about it, here's a good wiki link that has quotes from famous Christian writers.
en.wikipedia.org
Although I respect most of those writers, I do not agree with everything they wrote, and this is one thing I definitely do not agree with them about.