be no skin off someone's back
US /bi noʊ skɪn ɔf ˈsʌm.wʌnz bæk/
UK /bi noʊ skɪn ɔf ˈsʌm.wʌnz bæk/

1.
non fare né caldo né freddo, non importare
to not be a problem or concern for someone; to not affect someone negatively
:
•
It's no skin off my back if you don't want to come.
Non mi fa né caldo né freddo se non vuoi venire.
•
Whether they agree or not, it's no skin off my back.
Che siano d'accordo o meno, non mi fa né caldo né freddo.