Comey, who was leading the FBI's investigation into Russia's efforts to influence the 2016 presidential election, including reported ties to the Trump campaign, was sacked by Trump last week.
It comes as President Trump faces further furore over his meeting with Russian diplomats in which he is reported to have disclosed classified information. A few days later, Flynn had a breakfast meeting with the Turkish foreign minister, who went on to attend the inauguration.
Comey has been in high demand in the two weeks since Trump abruptly fired him, reportedly for pursuing an investigation into the Trump campaign's alleged ties with Russian Federation. "I think it divides the country".
President Trump adamantly denied that he asked then-FBI Director James Comey to stop investigating his close ally on Thursday.More news: LeBron, Cavs have reeling Celtics in must-win for Game 2
Mr Mueller is specifically empowered to examine "any links and/or coordination between the Russian government and individuals associated with the campaign of President Donald Trump". The FBI has been looking into Flynn for months as part of a counterintelligence investigation.
The Breitbart News Network, once headed by Trump chief strategist Stephen Bannon, reported that some of the recent accusations were driven by associates of Comey, who was sacked by Trump last week, in a story headlined "Comey Strikes Back".
"Director Comey was very unpopular with most people", he said.
Gowdy also supported Comey appearing publicly before Congress. Gowdy serves on three congressional committees where he could play a central role in reviewing the various allegations: Intelligence, Judiciary and Oversight and Government Reform.More news: Lib Dems outline waste plan in election manifesto
As the news broke, Burr told reporters: "I think this is a good decision".
This is the latest effort in a newly invigorated push from congressional Republicans to investigate the scandal-plagued White House. He says he wants to determine whether the president attempted to influence or impede the FBI's investigation into Flynn.
In such an intensely polarized political environment that distrust of mainstream media will make it less likely that Trump supporters - and the Republican officeholders who rely on their votes - will abandon the president any time soon. James Lankford (R-Okla.) said, "We've got to be able to resolve this so the Russians don't win". "You can't let them get you down, you can't let the critics and the naysayers get in the way of your dreams".More news: Johnny Depp Discloses the Strangest Place He's Ever Hooked Up
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