Mr Parlatore told CBS he had spoken to Trump's transition team after Hegseth was tapped to serve as defence secretary and explained the situation surrounding the allegation. He said he was unaware of any previous discussion Hegseth had with the team, or if they knew about the settlement.
The woman filed a complaint in 2017 with the Monterey Police Department, alleging that she had been assaulted by Hegseth at the Hyatt Regency Monterey Hotel and Spa.
The Washington Post first reported Hegseth's payment to the woman and obtained a memo sent to Trump's transition team from a friend of the accuser. The memo accused Hegseth of raping the conservative group staffer after drinking at the hotel bar.
Parlatore told CBS there was eyewitness testimony and video surveillance that the woman was sober and grabbed him by the arm to lead him upstairs.
According to Parlatore, the woman made "false claims" against Hegseth two years after the incident and threatened to sue him. He sent her a cease-and-desist letter in February 2020.
Parlatore said he found out she had a lawyer for her case a year later.
Hegseth's lawyer told CBS News the settlement payment occurred "a couple [of] years ago" but would not specify an exact date.
The allegation has not led to Trump reconsidering his pick for defence secretary, his transition team has said.
"President Trump is nominating high-calibre and extremely qualified candidates to serve in his administration. Mr Hegseth has vigorously denied any and all accusations, and no charges were filed," Trump's communications director Steven Cheung said.