It may or may not be worth pointing out that Marco Polo visited Kublai Khan's court, not that of Genghis.
There’s still debate whether Marco Polo even went to China, with a theory being that he never got any farther east than Persia, and picked up his smattering of Chinese knowledge from Persian merchants who traveled the Silk Road. Even if he did make it to China, large parts of his story are probably fabrications. He says he was an important official in Kublai’s court and that he was made Governor of Yangzhou, which was a pretty big town at the time. But no Chinese history mentions him being Governor of Yangzhou. In fact, no Chinese source mentions his name at all. He talks about helping the Chinese build siege engines at the Siege of Xiangyang, which can’t be true because that happened before Marco Polo was even in China, by his own account. The Chinese had better siege engineers than the Europeans did at the time anyway.
So a lot of stuff in the Netflix series is fake; especially his “rise to power in Kublai’s court”. His ghost writer, Rustichello da Pisa, wrote popular romances, so quite aside from Polo’s own veracity, he may well have exaggerated Marco’s story to make it more appealing.
That said, there were certainly foreigners in Kubalai’s court who rose to quite respectable positions. I wrote a post earlier about one parallel to Marco’s story, a guy named Araniko from what is now Nepal, who went to Kublai’s court as an architect. He certainly rose quite high in Kublai’s court, eventually becoming director of all artisan classes, entrusted with supervising architecture, painting and sculpture across Kublai’s empire. He became very rich, founded a huge school which trained many Chinese artisans, and was a personal friend of Kublai. When he died, Kublai declared a national holiday and day of mourning, and he was buried with Imperial honors. Unlike Marco Polo, he’s actually mentioned in many Chinese histories from the period and was important enough to have his own biography commissioned.