Men in that age range are actually employed at a higher rate than most other demographics. He is making a point about men in that age range being employed at a relatively low rate compared to historic rates for that same demographic, not their employment rate compared to other demographics now. Men age 25-54 have at times had rates getting close to 5%[3].
However, this can't entirely be blamed on a poor job market because it has become much more acceptable for men to take the role of a stay-at-home parent or caretaker than it would have when their employment rate peaked in the late 1960s. There are almost far more students in that age range than there would have been in the 60s.
[0] https://scholar.harvard.edu/files/glaeser/files/jobs_for_the...
[1] http://www.multpl.com/us-employment-population-ratio
[2] https://fred.stlouisfed.org/series/LREM25TTUSM156S?utm_sourc...
https://www.investopedia.com/articles/investing/080415/true-...
I wonder if you actually only counted white and asian men, would the statistics look any better?
EDIT: I just realized how terrible that may have sounded. I'm genuinely only curious about what's causing this apparent disparity. (A disparity that must be a bit severe mathematically speaking.) So my "off the cuff" guess would be that large sections of black, hispanic, and native american men are not really able to participate in the employment markets. And that's maybe how the numbers get so high for men in general?