Trump, who was meeting with world leaders at the United Nations on Tuesday, said the impending inquiry would be a "positive for me".
Trump has moved to fire three other watchdogs from the federal government: Intelligence Community Inspector General Michael Atkinson; acting Pentagon Inspector General Glenn Fine, and Principal Deputy Inspector General of the Department of Health and Human Services Christi Grimm.
Trump, who has described his conduct as "perfect", said on Friday he would formally object to Congress's impeachment inquiry, even as he acknowledged that Democrats "have the votes" to proceed. Still, he predicted such a move would hurt them politically.
Trump praised the Secret Service for being "very cool" and "very professional" but assailed the Democratic mayor of Washington for not providing city police officers to help.
Trump's lawyer Pat Cipollone told senators that the US people, not the Senate, should determine the president's fate.
Trump congratulated China on the successful convening of its annual two sessions. He said the US attaches great importance to US-China ties and bilateral cooperation.
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Trump, who has forged closer ties with Saudi Arabia and the Crown Prince Mohammed bin Salman, acknowledged for the first time on Thursday that Khashoggi, a US resident and Washington Post columnist, had likely been killed.
Trump has said the travel ban is needed to protect the United States against attacks by Islamist militants.
Trump used emotional language, referring to Americans who were killed by people in the country illegally, saying: "I've met with dozens of families whose loved ones were stolen by illegal immigration. I've held the hands of the weeping mothers and embraced the grief-stricken fathers. So sad. So terrible."
True, the gun buyback program has seen 56,000 firearms handed in at a cost to taxpayers of million. But the politicians are stuck on the registry.