Trump also tweeted about Heyer on Thursday, in a message that also attacked Sen.
He then added to his expression of support a tweet reviving a debunked legend about a USA general subduing Muslim rebels a century ago in the Philippines by shooting them with bullets dipped in pig blood.
Trump's unpredictable, defiant and, critics claim, racially provocative behaviour has clearly begun to wear on his Republican allies.
"The President has not been able to demonstrate the ability or competence that he needs to be successful", said Mr Corker, whom Mr Trump had considered for the job of secretary of state. "The people of SC will remember".
Mr Trump said it would be "foolish" to remove statues of Robert E. Lee and Stonewall Jackson and mused that monuments to George Washington and Thomas Jefferson would be next.
"You can't change history, but you can learn from it", he tweeted.
"Sad to see the history and culture of our great country being ripped apart with the removal of our attractive statues and monuments", Trump tweeted. Kelli Ward. "Great to see that Dr. Kelli Ward is running against Flake", Trump tweeted.
And the White House said on Thursday that it was abandoning plans to form an infrastructure advisory council.
In another indication of businesses not wanting to be associated with the president, the world-renowned Cleveland Clinic cancelled a planned 2018 Florida fundraiser at Trump's Mar-a-Lago Florida resort, where it had held such events for seven straight years. Twenty-First Century Fox owns Fox News Channel, a favourite with Trump and his conservative supporters.
James Murdoch wrote that Trump's comments should "concern all of us as Americans and free people", the Times said. "I can't believe I have to write this: standing up to Nazis is essential; there are no good Nazis".
Amid the controversy, the White House knocked down rumours that Trump economic adviser Gary Cohn might resign. And the president remained on the receiving end of bipartisan criticism for his handling of the aftermath of the Charlottesville clashes. Lindsey Graham a "publicity seeking" lawmaker. He called Arizona senator Jeff Flake "toxic" and praised Flake's potential primary election opponent. Flake has been increasingly critical of Trump in recent weeks.
"Whereas President Donald Trump has surrounded himself with, and cultivated the influence of, senior advisors and spokespeople who have long histories of promoting white nationalist, racist and anti-Semitic principles and policies within the country", says the resolution. Trump had blamed "both sides" for the violence, sparking a public outrage across the country.
Throughout the day - including after the funeral - White House aides told reporters that they were working on a call.
But not all of Trump's aides were unhappy with his performance.
Democrats have little recourse in the GOP-controlled House. Historically, Confederate monuments have been viewed as a symbol of hatred towards minority groups.
Bro told ABC on Friday morning she did not want to speak with Trump but that she missed a few calls, the first of which seemed to come during Heyer's funeral.
And then I had more meetings to establish her foundation. Tear down more statues. It's not that I saw somebody else's tweets about him.