How do you say this another way?

I didn't think anything of it.

Does it mean,
Nothing came to mind regarding it. (bad or negative)

Question

How do you say this another way?

I didn't think anything of it.

Does it mean,
Nothing came to mind regarding it.  (bad or negative)

Answer

Good question. 
A natural paraphrase of "I didn’t think anything of it" is:
I didn’t pay attention to it.
It does not mean that something negative came to mind. It means the person didn’t consider it important or didn’t see it as a big deal.

Answer

It's something like saying, "no offense taken" or, "it wasn't a problem for me."

For example:

Person 1:  "Sorry, I didn't mean to interrupt you."

Person 2: "It's okay. I didn't think anything of it."