“What are they afraid of?” Cuomo, said. "They're all on Fox, the mothership, because they don't want to be asked about."

Cruz initially took to Twitter to explain that he has conducted three separate town hall events on CNN in recent months, an indication he isn't afraid of the network. Friday, Cuomo was still tweeting about Cruz, so the Republican lawmaker fired back – claiming CNN never aired an interview that he gave on Thursday afternoon.

Cruz even tweeted a picture of a CNN reporter holding a microphone to his face for what he said was a 15-minute exclusive.

CNN is now scheduled to air the interview on Friday afternoon during “The Situation Room” after facing pressure from various media outlets, according to a network source. It is unclear if the interview will air in its entirety.