敬語N2

〜（さ）せてやっていただけませんか

could you allow me to let him/her...? / may I have him/her...? (asking on someone's behalf)

Structure

V-使役形 + てやっていただけませんか

Asking permission on behalf of a third person (a child, a subordinate, etc.): a combination of せてやる + いただく.

息子にも経験させてやっていただけませんか。

Could you let my son have the experience too?

うちの部下に一度見学させてやっていただけませんか。

Could you let one of my subordinates visit once?

A polite request for permission on behalf of someone close to the speaker. In speech, せてやってください is common.