"In a normal transition to a normal administration, there's always disorder," writes senior Republican national security expert and Trump opponent Eliot Cohen in the Washington Post.
"This time may be different... The president-elect is surrounding himself with mediocrities whose chief qualification seems to be unquestioning loyalty. By all accounts, his ignorance, and that of his entourage, about the executive branch is fathomless."
"Every administration tends to have ideological divisions, to rely on an old guard of party people alongside its newcomers, innovators and ideological insurgents, Ross Douthat writes in the New York Times.
"But in this case, apart from the infamous-but-still-marginal alt-right and the small clutch of conservative intellectuals for Trump, there is really no Trumpist new guard at all, at least among the people qualified to staff a presidential administration."
Fox News, however, characterises the recent sackings as part of Mike Pence's campaign to remove lobbyists. "The move to get rid of lobbyists in key roles was one of the first decisions made by Vice President-elect Mike Pence in his role overseeing the construction of a Trump administration," it said.
"One source said the decision to remove the lobbyists 'makes good on [Trump's] vision of how he wants his government constructed'."
Politico quoted a Trump insider as describing the transition battle as a "knife fight".
"Trump continues to build his administration as he did his corporation and then his drama-heavy but ultimately successful campaign: with warring factions that will guarantee that the constant chaos and
palace intrigue will continue in the White House," the website said.
"The idea of a 'team of rivals' isn't exactly a novel approach for a president filling out a cabinet. But this one may prove to be less of a team than a viper pit."
But Mr Trump sought to calm fears of turmoil.
"Very organized process taking place as I decide on Cabinet and many other positions," he tweeted.
"I am the only one who knows who the finalists are!"
He has already replaced New Jersey Governor Chris Christie with Vice-President-elect Mike Pence as head of the transition team
Media reports say Mr Trump's son-in-law and close adviser Jared Kushner was behind the change.
Mr Christie was New Jersey attorney general when Mr Kushner's father was tried and jailed in the state for tax evasion, illegal campaign contributions and witness tampering in 2004.