What does it mean when someone says "indulge me"?

Question

Answer

It is a way of asking for permission to do something, usually talking. For example, person A wants to tell a story, but person B isn't interested. Person A might say, "Please just indulge me for a couple minutes." Or a teacher might say to her class, "Please indulge me if I don't follow our usual lesson plan today." In other words, the teacher is asking her class to be patient with her and not complain.

Answer

Go ahead and tell me, I’m interested

Answer

Indulge me also refers to sarcasm. "humour me"

Answer

If they say it, just that, "Indulge me," it's in answer to an objection.

"But it will take too much time!"
"But you already know this!"
"But we did it ten times already!"

It acknowledges that the request might be going overboard but please do it anyway.

Answer

You could also say "gratify/humor me"

Ne manquez pas cette occasion d'apprendre une langue depuis chez vous. Découvrez notre sélection de professeurs de langues expérimentés et inscrivez-vous dès maintenant à votre premier cours !