Several House members had called for Mr. Gonzales, a Texas Republican, to step down after texts emerged showing his pursuit of a staff member who later killed herself.
One inmate paid lobbyists and lawyers with ties to the president’s team and walked free. Others are following his blueprint, but it is not always clear who can deliver.
Mayor Jacob Frey of Minneapolis said “Good riddance” after Ms. Noem’s ouster. Gov. Tim Walz and others said they still wanted a “complete overhaul” of the department.
The president said he would replace Kristi Noem, the homeland security secretary, with Senator Markwayne Mullin, after Ms. Noem was grilled by Republicans at a congressional hearing.
The homeland security secretary, who was fired by President Trump Thursday, helped fulfill his border pledges, but also drew negative attention to his administration.