According to ABC, Rosenstein isn’t being forced out of his job by Trump.
Rosenstein’s tenure as deputy attorney general has been a turbulent one. In May 2017, days after then-FBI Director James Comey was fired, Rosenstein appointed Mueller to take over the FBI investigation into Russia's meddling in the election and any possible collaboration between Trump’s campaign and Russian officials.
Trump has made it known – often through Twitter – that he disagreed with Rosenstein’s decision.
It was a letter Rosenstein submitted to Trump laying out why he thought Comey should be fired that Trump referenced to defend his decision to let Comey go.
Rosenstein’s letter criticized Comey’s handling of Hillary Clinton’s use of a personal email server.