How to call JavaScript function instead of href in HTML

That syntax should work OK, but you can try this alternative.

<a href="https://stackoverflow.com/questions/5003867/javascript:void(0);" onclick="ShowOld(2367,146986,2);">

or

<a href="https://stackoverflow.com/questions/5003867/javascript:ShowOld(2367, 146986, 2);">

UPDATED ANSWER FOR STRING VALUES

If you are passing strings, use single quotes for your function’s parameters

<a href="https://stackoverflow.com/questions/5003867/javascript:ShowOld("foo', 146986, 'bar');">