"We have always seen ourselves as an independent news agency, and we want to continue with that mission", he said.
His comments came after the Wall Street Journal reported that Trump allies considered buying Newsmax TV to build a strong competitor against Fox News - which has found itself at the center of criticism especially after it declared Democrat Joe Biden as the victor of the presidential election. The firm has no apparent connection to White House senior adviser Hope Hicks.
CNN reported that Fox News viewers have been navigating over to Newsmax after the network declared Biden was the victor.
Rudy refused, saying there was "no deal" with Hicks Partners though he had spoken to them "on and off through the past three years". "It's nothing unusual for us to have a conversation".
Fox News correspondent Geraldo Rivera, in a post on Twitter and in an interview with the network, said Trump had called him earlier on Friday. CEO Lachlan Murdoch said, "We love competition". Trump has gone on to promote other right-wing channels such as Newsmax and One America News.
"We listen to them, but our main focus is continuing: We would like to overtake Fox News in the next 12 months, and I think it's do-able", he added.
But without Trump in the Oval Office, the network "must figure out how to deal with the exit - and wrath - of its star", the Economist wrote.
But Newsmax would be open to giving Trump his own weekly show once he has left the White House, Ruddy said.
Newsmax has yet to issue a call on the presidential contest.
Fox was one of the first news organizations to invite the state of Arizona for Python, and has warned its readers that claims about Trump's victory are false.
The shocking placard, however, was flashed on television and has caused debate on social media regarding the racist underside of Trump supporters pledging their solidarity and support to the President.
The "Million Maga March" saw Trump supporters from different ideological groupings and communities come forth and show their support for the President, who has been under pressure to concede defeat since the announcement of results on November 8.