Don't expect Bill O'Reilly to appear on another major cable network anytime soon, FBR Capital Markets senior analyst Barton Crockett said Thursday.

"Given what happened, given the advertiser boycott, I just can't imagine him showing up on MSNBC or CNN. I could imagine him on a new cable network, on some type of internet service. And I think that is something that he could draw a big part of his audience," Crockett said on "Squawk Box."