He said in a Thanksgiving Day tweet that he may not appear if the interview is not conducted in a public setting.
"Presidential Harassment" has become a common phrase in pro-Trump and conservative media outlets lately, which skeptics may see as a very odd euphemism for "checks and balances" or even appropriate investigation into corruption and malfeasance.
Most recent polls have Trump's approval rating in the low 40s, while a recent Gallup poll reported a 60% disapproval rating for the 45th president.
Robert Mueller's big time conflicts of interest be listed at the top of his Republicans only Report.
Mueller last month accused Trump's former campaign chairman Paul Manafort of breaching a plea bargain deal by lying to prosecutors, and he will submit information on those alleged lies in a filing to a federal court in Washington.
Trump's comments come as Mueller is facing court deadlines to detail the cooperation of Trump's longtime legal fixer Michael Cohen. So far, more than 30 people have been charged or pleaded guilty in Mueller's investigation. He denies any collusion between his team and Russian Federation, and accuses Mueller's prosecutors of pressuring his former aides to lie about him, his election campaign and his business dealings. Rosenstein had been tasked with overseeing the investigation, though that role became unclear after Trump appointed Matthew Whitaker as acting attorney general.
President Trump went on an early morning tirade Friday, ripping Robert Mueller and "Leakin' Lyin' " James Comey amid reports that new revelations from the special counsel investigating Russian collusion are expected today.
The special counsel and federal prosecutors in NY will have to file memos in court on Friday detailing the cooperation of longtime Trump legal fixer Michael Cohen.