As a rule of thumb "try to keep it as local as possible but as visible as necessary".
If all code calling the function resides in the same implementation file, this means keeping it local to the implementation file.
If you'd make it a private static method of your class, it would not be callable by implementaions including your class, but it would still be visible to them. So every time you change the semantics of that method, all implementaions including your calls will have to recompile - which is quite a burden, since from their point of view, they don't even need to know those sementics.
Thus, in order to minimize unnecessary dependencies, you would want to make it a static global function.
However, if you should ever find yourself repeating this global function in mulitple implementation files, it would be time to move the function into a seperate header/implementaion file pair, so that all callers can include it.
Whether you place that function into a namespace, at global scope, or as a static function in a class is really up to taste.
On a final note, if you go for the global static function, there's a "more c++ like" version: anonymous namespaces. It has the nice property that it can actually store state and also prevents users for being able to even forward declare any of its functions.
// in your .cpp file
namespace /*anonymous*/
{
void foo()
{
// your code here
}
};
void MyClass::FooUser1() { foo(); }
void MyClass::FooUser2() { foo(); }