I live in an Asian country (not China) and completed my master's in Math in June 2020. I wanted to do a PhD in math, but didn't apply in China for session 2022 due to some reasons. I do not believe doing a PhD in my country is a good option due to severe racism and corruption and related issues.
I have been thinking of writing to professors in universities in China whose interests align with mine to discuss the possibility of an internship. This would help me get my foot in the door, and hopefully strengthen my PhD application. However, I don't have funding.
My thought was to send an e-mail that explained my situation in the Statement of Purpose (including past hardships, issues in my country) along with providing my CV and master's thesis
Is this the best way to approach professors in China about the possibility of an internship? Is this likely to work out (assuming I am qualified, etc.)?
Edit 1: I don't speak chinese