An is perfect - Please note that 'an' is perfect to use before any sentence (vowels - 'a','e','i',o','u')

actually both sentence we can use it but it more suitable with these sentence : "I didn't have any issue with" and "I don't have an issue with him". this is just my perspective. if it's wrong then just ignore it. thank you.

Both are acceptable, depending on context. "I don't have an issue with him" or "I don't have any issues with him" It doesn't matter, as long as the grammar is correct. Either is fine! English is a versatile language, and so it works both ways.

I don't have AN ISSUE. - It is more specific. For example is someone asks you if you have an issue with person X, you would respond like this. Or if you are accused of having an issue with person X, you'd again, respond, like this. It is like specifying an unnamed problem. I don't have ANY ISSUES with him. - General. "He is a good person, I don't have any issues (problems) with him". Not talking about a strict issue.

mmmm i think... i dont have any ..maybe ??? anyone ????