This claim is true (mostly). While I couldn't find any evidence that any White House officials said this, this article from npr states that Trump's administration is pushing deployment of the national guard in several cities with primarly democratic voters under the pretext of 'violent protests'.
According to this law, the President is only able to deploy the national guard if "the President is unable with the regular forces to execute the laws of the United States". In federal court, the Trump administration claims that they are unable to execute the law as it relates to immigration enforcement due to the protests in the area. This article from opb says that attorneys representing the Trump administration claim that protesters "assulted federal officers" and "damaged federal property," while the attorneys for Oregon and Portland provided evidence showing that the protests leading up to the point where Trump sent in the national guard were just anywhere from "8-15 people at any given time 'mostly sitting in lawn chairs and walking around'". While both sources lean slightly left on Ad Fontes Media, a media bias chart, they are also both some of the highest rated on reliability.
This article from CNN says that he's floating invoking the Insurrection act, despite the lack of evidence of an actual insurrection, or "really even extraordinary levels of crime," which is supported by this graph showing that crime has been at its lowest since 2020, posted by the Portland Police Bureau. When reaching out to the Trump administration, I recived no response.