Trump walked off Air Force One with Rosenstein and Chief of Staff John Kelly.
In the fall of 2015, Emanuel contended during a closed-door meeting with then-Attorney General Loretta Lynch and 20 big-city mayors and police chiefs that police officers across the nation were becoming "fetal" because they're afraid their videotaped encounters with the public will end up on YouTube. "I can tell you that if he does not, there are a number of us that are standing by really with impeachment documents that say we cannot have this kind of activity continue at DOJ". "The crime spree has a awful blight on that city, and we will do everything possible to get it done".
Rosenstein took over the investigation into possible collusion between the Trump campaign and Russian Federation after Attorney General Jeff Sessions, who had been involved with the campaign, recused himself.
"I didn't know Rod before, but I got to know him and I get along very well with him", Trump said. They did talk, for about 45 minutes, but not alone, a White House spokesman said.
Trump and Rosenstein met for a half-hour, according to the White House, en route to the International Association of Chiefs of Police Annual Convention in Orlando, Fla.
Pressed further about his relationship with Rosenstein, Trump added: "I didn't know Rod before, but I got to know him and I get along very well with him".
The report claimed Rosenstein discussed secretly recording Trump and using the 25th Amendment to remove him from office.
Chicago mayor Rahm Emmanuel is a staunch critic of Trump, and Chicago's crime problem is a frequent focus of Fox News and the president.
Trump had previously said that he would prefer not to fire the Justice Department's No. 2 official and that Rosenstein had told him he did not say the remarks attributed to him.
Trump's speech also came months after endorsing the GOP nominee for governor, Ron DeSantis, in a race that could make history if Democratic nominee Andrew Gillum brings home the win in November.
He did not disclose details of their conversation, but referred back to the president's comments as he left the White House saying he did not intend to fire Rosenstein.
Trump said Kavanaugh would be "a faithful defender of the rule of law".
House Judiciary Committee Chairman Bob Goodlatte (R-Va.) issued a subpoena to Attorney General Jeff Sessions on September 27, for the McCabe memos.
But even as Trump has made a decision to leave Rosenstein in place - for now - the matter of what Rosenstein said and proposed doing likely will remain a political issues heading into the homestretch of the midterms - and beyond.