Please allow me to give an explanation for being late.

请让我解释一下我迟到的原因。

youdao

Please allow me to present my apologies.

请允许我致歉。

《牛津词典》

Please allow me to congratulate you with all my heart on your great achievement.

请允许我衷心地向您了不起的成就表示祝贺。

youdao

You say "Let me" to say "Please, allow me.", "Please allow me to do this."

你用“Let me”来表达“请允许我”，“请允许我做这件事。”，

Let me 课堂 - SpeakingMax英语口语达人

Jon, as a whisky writer who covered this from the beginning, please allow me to clarify a few things.

FORBES: Whether Sinisterly Smart or Disturbingly Dumb, Maker's Mark Missed the Mark

Please allow me to repeat: of the nine people who testified that Troy killed Officer Mark MacPhail, seven have recanted their testimony.

FORBES: The Killing of Troy Davis

Tiger Mom, please allow me to introduce you to Professor Dong Fan.

FORBES: Chinese Professor Tells Students Become A Millionaire Or You're A Disgrace