Wiktionary
vb. (context usually in a negative use vulgar English) to care whatsoever.
Usage examples of "give a flying fuck".
He couldn't give a flying fuck about Bryant and the report he would now be getting from the captain at the end of the campaign.
Randy cannot work out why on earth the Dentist should give a flying fuck whether Randy believes in his lies or not, which pushes him in the direction of thinking that maybe he really is telling the truth.
Most important of all, if they were dumb enough to gamble their lives, then they implicitly accepted the possibility of losing them, and so why then should people like Wally Hicks give a flying fuck about them when the dice came up wrong?
Third, what makes you think that the local cops'll give a flying fuck one way or another?
I don't give a flying fuck if you're God Almighty come for Judgment Day.
People don't give a flying fuck if Uncle Jeffrey really forgives them for missing his last birthday party.