If you’re referring to 9/11 the airspace was closed relatively quickly at 9:08 (the south tower was hit at 9:03) all flights going through or to NYC air space were banned. All US airspace was closed to civilian aircraft at 9:45 - eight minutes after the Pentagon was attacked (9:37) and they had to land at the closest airport.
I think what's more problematic than him having fun while the rest of his colleagues are working is that he's bragging to viewers that he doesn't stay in New York. Sure, he might be there four mornings a week, but it's not really his home anymore.
Something I've always wondered but never asked...why were any choppers, outside of emergency choppers, allowed it the air? Was it because they were local news and they got it ok? I would've thought they'd try to ground ALL aircraft in NYC.