To fail to hear something; to miss (a remark, information, etc.) — to let something be unheard or overlooked.
会議中に重要な指示を聞き逃してしまい、対応が遅れた。
I missed an important instruction during the meeting and the response was delayed.
ラジオで電話番号の一部を聞き逃して、かけ直せなかった。
I missed part of the phone number on the radio and couldn't call back.
雑音が多くてアナウンスを聞き逃した。
There was so much noise that I missed the announcement.
To act as if one did not hear something; to let a remark slide deliberately — to ignore or pretend not to hear.
彼女はあえて相手の非礼を聞き逃した。
She deliberately pretended not to hear the other person's rudeness.
上司は冗談交じりの嫌味を聞き逃して、場の空気を壊さなかった。
The boss let the sarcastic joke slide and didn't spoil the atmosphere.