Light can travel in a black hole, it just has no path that leads outside of the event horizon.
Discussion
Agree .. it travels in circles .. but we don't know for sure if there is dense matter with in to hinder the progression of light .. must be high intensity gamma and X rays given the kind of fusion going on inside ..
Maybe he was referring to the singularity, not event horizont.
Definition of "black hole" is a bit confusing.