Rep. Jim Jordan has sent a letter to colleagues announcing his speakership bid.

"We are at a critical crossroad in our nation's history," he wrote. "Now is the time for our Republican conference to come together to keep our promises to Americans."

Senate Republican leader Mitch McConnell said he is keenly aware of the thankless work it takes to be a Congressional leader as he praised McCarthy in a floor speech.

“I’ve said before, in reference to my own position, that being the leader of your party in the Senate is much like being the groundskeeper at a cemetery. Everybody’s under you, but no one’s listening," McConnell said, adding: “Of course, I doubt that Kevin McCarthy has ever seen himself as above anyone else."

McConnell praised McCarthy's willingness to dive "head first" into worthwhile fights, calling him a trusted and honest partner in leading the GOP caucus.

“He didn’t hesitate to get his hands dirty. When circumstances were tough, he drew on his faith, his family and his belief in American exceptionalism," McConnell said.

“And I’m not sure anyone could have predicted just how much these qualities would come in handy over the past nine months," he said.

-ABC's Mariam Khan

Rep. Jim Jordan, R-Ohio, told reporters Wednesday morning that he is running for speaker of the House -- the first member to publicly throw their hat in the ring.

Jordan, a top Trump ally and chairman of the House Judiciary Committee, has ruled out running for speaker in the past.

Jordan said Wednesday morning that the messages and phone calls of support he has received so far "seems strong."

"I think the key is to unite the conference," Jordan said. "I think I can."

In addition to Jordan, House Majority Leader Steve Scalise has begun making calls to gauge support as has Oklahoma Rep. Kevin Hern.

-ABC News' Katherine Faulders and Arthur Jones

Former President Donald Trump, arriving to court for the third day of his civil fraud trial, commented on the speaker's race -- specifically, the calls from some hard-line conservatives such as Marjorie Taylor Greene for him to serve in the role.

"I'll do whatever it is to help. But my focus, my total focus is being president," he told reporters.

It's not the first time we've heard Trump's name floated for the position. Back in January, amid McCarthy's fraught battle for the gavel, Gaetz actually cast a ballot for Trump during one of the 15 rounds of voting.

It would technically be possible because the Constitution doesn't specify that the person be a current member or member-elect, but it's not likely.

Trump didn't say who he would like to see succeed McCarthy but said, "We have some great people in the Republican Party that could do a great job as speaker."

-ABC's Lalee Ibssa, Soorin Kim and Kendall Ross

The House would be in uncharted waters if McCarthy is removed as speaker: A motion to vacate has never been used successfully.

But the chamber wouldn't be as paralyzed and chaotic as it was in January amid McCarthy's five-day, 15-ballot vote to win the gavel.

As part of a rule change after 9/11 to support the continuity of government, the speaker is required to deliver to the House clerk an ordered list of members who can act as speaker pro tempore in the event of a vacancy.

The person at the top of McCarthy's list will serve as interim speaker until a new one is elected.

If the motion to vacate is successful, the chamber could go right to another speaker vote -- and McCarthy's allies could put him forward again to reclaim his post.

But unlike in January, it's possible that the House could take up other business in the meantime: The chamber has a rules package, and the speaker pro tempore would have the authority to act as speaker until a new one is elected.