not give a damn

not give a damn

rude slang To not care in the slightest (about something or someone); to attach no importance to someone or something. I don't give a damn about making money, I just want to do something with my life that makes life better for others. I haven't given a damn for the show ever since they killed off my favorite character. Do whatever you want, I don't give a damn.
See also: damn, give, not
Farlex Dictionary of Idioms.

not give a damn

Also, not give a fig or hang or hoot or rap or shit . Not care about, be indifferent to, as in I don't give a damn about him, or She doesn't give a fig if he comes or not. The nouns in all these terms signify something totally worthless. Although probably in oral use for much longer, damn is first recorded in this negative form in the late 1700s and the worthless item it is used to denigrate is a curse. Fig has denoted something small and worthless since about 1400, and hang since the mid-1800s; hoot has been used for the smallest particle since the later 1800s; rap, also for the smallest particle, since the first half of the 1800s, and shit, for excrement, since about 1920. All but the first of these terms are colloquial and the last (using shit) is vulgar.
See also: damn, give, not
The American Heritage® Dictionary of Idioms by Christine Ammer.

not give a damn (or hoot)

not care at all. informal
1998 Penelope Lively Spiderweb The boys knew that the teachers didn't like them and they didn't give a damn.
See also: damn, give, not
Farlex Partner Idioms Dictionary

not care/give a ˈdamn (about/for somebody/something)

(informal) not care at all about somebody/something: Steve doesn’t give a damn about anybody except himself.
See also: care, damn, give, not
Farlex Partner Idioms Dictionary
See also:
  • not care/give a damn
  • not give a hang (about something)
  • not give two pins (about something)
  • not give two hoots about (someone or something)
  • not care a hang
  • not care a hang (about something)
  • not care two pins (about something)
  • not care a hoot (about something)
  • not care two straws