There is a revolving door between the Trump administration and Fox News today, with multiple high-profile Fox News personalities campaigning with Trump.
This is not normal. Previous presidents, regardless of political party, did not engage in this behavior.
Former DNC chairwoman Donna Brazile works for Fox now. It would seem the revolving door is rather different from what you are seeing. She went from CNN to the DNC by being Hillary Clinton's choice to run the DNC, right after the scandal where she gave debate questions to Hillary Clinton in advance.
It looks like this is in fact normal. It's understandable too, since connected people with an understanding of media and politics are obviously of value.
This is not normal. Previous presidents, regardless of political party, did not engage in this behavior.