not bat an eye
US /nɑt bæt ən aɪ/
UK /nɑt bæt ən aɪ/

1.
不眨眼, 不为所动
to show no surprise or concern when something unusual or shocking happens
:
•
When she heard the bad news, she didn't bat an eye.
当她听到坏消息时,她甚至没有眨一下眼。
•
He told them he was quitting, and they didn't bat an eye.
他告诉他们他要辞职,他们甚至没有眨一下眼。