Ford & Tesla customers the world over beg to differ, and GM is sold in many countries under different brands as well. The top 20 has a number of Chinese players and they are definitely moving up year-by-year but the top 5 has been unchanged for years: VW; Toyota; Stellantis; MB; Ford. Tesla is a bit player and BYD isn't on the market so it is impossible to rate them other than as a successful domestic player.
If a Chinese manufacturer would succeed in the West my money would be on a JV between VW and FAW, BYD vehicles under the Toyota brand is another option. A Chinese manufacturer going it alone is likely not going to succeed due to the way previous Chinese brands have been received by these markets. Geely played it smart, they have acquired Volvo and with their Polestar brand they are now moderately successful in the EV only market, with 80,000 vehicles scheduled for delivery this year.