The American people could greatly benefit from Anthony Scaramucci as White House communications chief, Republican political strategist Sara Fagen said Monday.

"If he can talk some sense into Trump and walk him back from some of these statements about pardons and firing (Robert) Mueller or any kind of impression the president gives about this situation, he will add tremendous value not only for the Trump White House but everybody in America," Fagen, former political director to President George W. Bush, said on CNBC's "Squawk on the Street."

White House press secretary Sean Spicer resigned Friday after opposing President Donald Trump's appointment of Scaramucci. Spicer said Scaramucci's appointment would create additional confusion and uncertainty engulfing the White House, The New York Times reported. Scaramucci, a longtime Trump backer, served on the transition team.

The latest West Wing shake-up comes as Trump suffers from low approval ratings and struggles to advance his legislative agenda. The president has blamed his own messengers and the "fake news" media.

Also on CNBC, a former Clinton White House communications director, Don Baer, said Scaramucci could have an impact but it may come with a cost.

"He's going to need to be less of a high profile figure and go behind the scenes and do the work," said Baer.

"But if what he's going to be doing is kind of traipsing around to different shows ... it's hard to do those sorts of things at the same time," Baer said on "Squawk Box."

Baer, CEO of the public relations firm Burson-Marsteller, said the problem with the Trump administration is it has no sustained message and hasn't been effective in swaying opinions outside its base.

"They haven't been very creative on how they reach out, nor have they been very inspirational at times," he added.

Baer said Scaramucci should help the administration focus on the American people.

The 53-year-old Scaramucci started his career in finance at Goldman Sachs after graduating from Harvard Law School. (White House economic advisor Gary Cohn and Treasury Steve Mnuchin are also Goldman alums.)

In 2005, Scaramucci started SkyBridge Capital, a fund of funds for hedge funds. He also hosted the annual SkyBridge Alternatives (SALT) Conference. He was once a regular CNBC contributor and later became a contributor to Fox News and Fox Business.

In January, in anticipation of a Trump administration post, Scaramucci agreed to sell his stake in SkyBridge to RON Transatlantic Advisors and HNA Capital, a unit of China's HNA Group. The deal is expected to close this summer. Most recently, he was a senior vice president at the U.S. Export-Import Bank.