If an Executive Action falls in the forest

So if the president does't have to listen to Congress, and can do whatever he wants, does that mean government agencies don't have to listen to the president?  Theoretically speaking

I DVR'd Biggest Loser for my wife last week.  We went to watch it and it was the president's speech on executive action on amnesty. True story.

I thought that the networks weren't supposed to be carrying his speech.  This may have been a local decision. I'm talking about the Executive Action, not the coverage.

Does anyone have any idea of what Congress is allowed to do without the president?  Tit for tat as opposed to quid pro quo,