Does the flag on Dante's jacket change?

Solution 1:

Given the pictures found over Google images, it looks like the UK flag is just part of the character design of Dante.

  • Example 1
  • Example 2
  • Example 3

There is also a side note about this flag on the DmC Wikia:

The Union Jack patch on the arm of Dante's coat was Ninja Theory's small way of adding in a nod to themselves as their offices are based in the UK.

But I 100% agree with you: it would've been a great idea to geolocalize the flag ;)