"I also know Wyoming can do better," he said.
On Twitter, people responded negatively to a response McCarthy gave to a question in an interview airing Sunday.
Cheney was just one of 10 Republican members of the House in favor of former President Donald Trump's impeachment.
The Republican congresswoman said her impeachment vote was "separate from party."
Cheney was one of just 10 Republican members of the House to join Democrats in voting to impeach Donald Trump.
"We do need to find a way to hold the president accountable," said the freshman congresswoman from South Carolina Sunday.
The House GOP conference chair has faced calls to resign from that position by some colleagues who objected to her stance.
"They're at home. They could have a trial on Friday," the Democratic congressman said, referring to the Senate.
The Wyoming congresswoman faces a petition calling for her ouster after she voted to impeach Trump.
Liz Cheney is facing backlash from her Republican colleagues over her support for President Donald Trump's impeachment.
The impeachment vote is expected to pass Wednesday with bipartisan support.
"She's not representing the Republican ideals," the Republican congressman from Arizona said.
The journalist and former Trump loyalist tweeted that losing the election "revealed a dysfunction I had refused to see."
"To allow the president of the United States to incite this attack without consequence is a direct threat to the future of our democracy," New York Republican Representative John Katko said in a Tuesday statement.
Cheney, the No. 3 House Republican, urged for "everybody" to listen to the roughly hour-long phone call in which the commander in chief repeatedly pushed Georgia's top election official to commit fraud.
Debate has taken place on social media as multiple Republican elected officials suggested the former National Security Agency (NSA) contractor-turned-whistleblower should be pardoned by Trump.
The Republican congresswoman also called the NSA whistleblower a "traitor" to the U.S for releasing classified information.
Wyoming Republican Congresswoman Liz Cheney said Thursday that Kentucky Senator Rand Paul's opposition to the bill was "inexcusable."
"If the President cannot prove these claims or demonstrate that they would change the election result, he should fulfill his oath to preserve, protect and defend the Constitution of the United States by respecting the sanctity of our electoral process," Cheney said in a statement.
"The peaceful transfer of power is enshrined in our Constitution and fundamental to the survival of our Republic," GOP Representative Liz Cheney of Wyoming tweeted.
Former national security adviser John Bolton praised Republican Wyoming Rep. Liz Cheney as a "principled leader" while a former GOP senator also defended her splits from President Donald Trump.
President Trump has repeated a debunked conspiracy theory that falsely claims Joe Scarborough committed murder in 2001 against a woman who worked in his office when he was a Florida congressman.
"But the lieutenant colonel says the transcript wasn't accurate," Fox & Friends co-host Brian Kilmeade interjected
"I think that's farcical. There's no doubt about it. This lieutenant colonel was born in the Ukraine," Kilmeade said.
Representative Liz Cheney labeled the attacks against the Iraq War veteran and Purple Heart recipient as "shameful" and said the questioning of the man's patriotism needed to stop.
Trump gave Turkey the green light to invade northeastern Syria after a phone call with Turkish President Erdoğan last Sunday.
"Given the Taliban's sordid history and ongoing violence, it strains credulity to believe it can be a partner for peace," a top House Republican wrote in an op-ed.
"I believe this is about ideology. This is about socialism vs. freedom," said House Minority Leader Kevin McCarthy, a Republican.
"Whether it's a Green New Deal or Democratic takeover of healthcare, those all come with a huge cost and that cost is loss of freedom," Cheney says.
"Its completely inappropriate, it's reckless, it's irresponsible, it's misinformed, and it's flat out wrong," ICE executive director Mark Morgan said.