Looking it up on Credit Lookup:

Chanwook Park: 1 title
Chan Wook Park: 1 title
Chan-Wook Park: 32 Titles
Park Chanwook: 3 titles
Park Chan Wook: 2 titles
Park Chan-Wook: 21 titles

So yes I think you should submit titles you have to change his name to the "common name" Chan-Wook Park

Technically I think his name is Park Chan-Wook, as the Korean convention is "family name then personal name", the reverse of most if not all English speaking cultures.

Quoting Wolfpig:
Technically speaking the family name will still be the family name of one...regardless in which order it is written.
Absolutely correct. The data to enter is the same no matter the conventions different countries use, which is why I concluded that Untrained Monkey had the correct common name.
I just chose to add the little bit of extra trivia, even though it is irrelevant in relation to the Profiler.