The cast (int) myobject should just work.
If that gives you an invalid cast exception then it is probably because the variant type isn't VT_I4. My bet is that a variant with VT_I4 is converted into a boxed int, VT_I2 into a boxed short, etc.
When doing a cast on a boxed value type it is only valid to cast it to the type boxed.
Foe example, if the returned variant is actually a VT_I2 then (int) (short) myObject should work.
Easiest way to find out is to inspect the returned object and take a look at its type in the debugger. Also make sure that in the interop assembly you have the return value marked with MarshalAs(UnmanagedType.Struct)