The perspective that a European living in a country conquered by the Mongols is most likely to have is:
The Mongols were responsible for developing trade between Asia, Europe, and the Middle East.
While there would certainly be fear and resentment towards the Mongols due to their conquests, there would also be an understanding of the role they played in facilitating trade across vast regions, especially along the Silk Road, which was significantly impacted by their empire.