When the confidence interval (in this case for the OR) is large, it means that the uncertainty about the outcome is also large. That may be due to several factors, in general it may be due to a small sample size or to a large variance.
In the case you are referring to, I suspect that the OR are relative to categories with a small number of individuals (perhaps you're comparing 4 persons with 3 persons in one of the categories).
Since the confidence interval you presented includes the value $1$, it means that we should not reject the null hypothesis: $OR = 1$. This means that the odds of a positive event appearing in one group is not significantly different from the odds of a positive event appearing in the other group.
I've assumed in my answer that what you called "OR range" with the values $[0.003; 500]$ to the $95\%$ confidence interval for the OR.
By the way, it's better to use brackets for the notation of intervals as in ISO 31-11, to avoid confusion with subtraction, for instance.