If we're talking about nearly anywhere else in the world, American culture dominates. If you're talking about influences on America, Japanese culture has had (and continues to have) a much bigger impact.
I just don't see Chinese media "popping up everywhere." Chinese media is poorly translated or culturally impenetrable to Western audiences. I say this as someone reading a Cixin Liu book right now and really enjoying it - even so I recognize that it's niche and the translation is rough. I don't think I've ever seen a Chinese movie and I can think of exactly one Chinese pop song that got popular in recent years (made by a Chinese-American in America, of course). America created or popularized rap, hip-hop, country, most pop music, esports, and many regular sports. American companies made Digg, Myspace, Napster, Facebook, WhatsApp, Instagram, Snapchat, Reddit, Twitter, and a plethora of other popular apps and products.
But because China made TikTok/Douyin/Genshin it's suddenly "China's century"? TikTok is a Vine clone. Genshin's artstyle, stories, and game mechanics are ripped straight from Japanese games. The genre of gatcha is Japanese!
We are truly in China's century.