He is really sorry about the inconvenience caused to me.
&
He is really sorry for the inconvenience caused to me.

What is the difference?

Question

He is really sorry about the inconvenience caused to me.
&
He is really sorry for the inconvenience caused to me.

What is the difference?

Answer

Another way:  He is really sorry for the inconvenience that he caused me.

Answer

These can be uses interchangeably

Answer

FOR or ABOUT are equally correct.   CAUSED TO ME is not a normal way of saying this. Scott's solution is good. Another option:

He is really sorry for the inconvenience I suffered/experienced/had.