Janet Yellen
Despite the president's words, however, a reappointment is still considered unlikely. For starters, Yellen faces opposition among conservative Republicans, who want to see significant changes at the Fed. Trump has also been critical of Yellen in the past, accusing her of trying to help the Obama administration. It seems unlikely Trump would risk political blowback from his own party by reappointing Yellen.
Gary Cohn
Ironically, Cohn is currently the Trump administration's point person for finding the next Fed chair. But Trump confirmed to The Wall Street Journal in late July that he was considering giving the job to Cohn.