Former US Senator Jeff Flake Won't <br />Run for President in 2020 The Arizona republican will work on new TV projects with CBS News. Since he is one of President Trump's <br />most vocal critics, many speculated Flake would launch <br />a primary challenge. Flake, who stepped down from his seat last year, says he didn't "see a path" towards <br />a presidential run. Despite not running, he hopes a <br />Republican runs against Trump in <br />the primary. Jeff Flake, via 'CBS'