Fiorina earlier Monday suggested Beck's conservative news outlet The Blaze as a potential debate host, and Beck responded that he would want the opportunity to moderate.

I'd love to moderate and host! How do we make that happen? @CarlyFiorina @theblaze — Glenn Beck (@glennbeck) November 2, 2015

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The proposal came days after The Blaze reported that an official for a GOP presidential campaign had also recently floated Beck as a potential debate moderator.





“You need to know that we are committed to a fair and honorable production that will make very candidate, the party and our voters proud,” Beck wrote. In a letter to Priebus published later Monday, Beck floated his network as a potential host for the Feb. 26 debate that was originally to be aired by NBC.“You need to know that we are committed to a fair and honorable production that will make very candidate, the party and our voters proud,” Beck wrote.

The Republican contenders are pressing for changes to future debates following last week's fractious event hosted by CNBC. Campaigns panned the CNBC debate moderators and unprofessional and said candidates were asked unfair questions and not given enough time. The RNC suspended plans to partner with NBC for a GOP debate in February.

When the RNC announced its slate of presidential debates earlier this year, it said conservative media outlets and panelists would partner with the networks for the events.

The three debates so far have been ratings bonanzas for the networks that broadcast them — Fox, CNN and CNBC — affording campaigns more weight in negotiating conditions for the prime-time events.

Representatives from several campaigns met Sunday near Washington to try to seize control of the debate process moving forward.

But Fiorina indicated earlier on Monday she wasn't among them.

"Well I wasn't there, and my campaign wasn't there. We're here in Iowa talking to voters instead of being in D.C. talking about debates," Fiorina said on "Fox and Friends." "We've had no trouble negotiating with the networks, and my policy remains what it's always been: I'll debate anyone, anytime, anywhere," the former Hewlett-Packard CEO said. "We need to understand that the media is not going to be fair."

The fourth Republican debate will be held Nov. 10 in Milwaukee and will be hosted by Fox Business Network and The Wall Street Journal.

— This story was updated at 4:58 p.m.