Park, who has already served an 18-month doping ban imposed by swimming's world governing body Fina, is fighting to overturn a KOC regulation that has tacked on an additional three-year suspension, which would rule him out of the Rio Olympics.
The 26-year-old has lodged a case with the Court of Arbitration for Sport but has instructed the Lausanne-based tribunal not to proceed until he has received a definitive answer from the KOC on whether it would drop its rule.
KOC President Kim Jung-haeng said at a lunch meeting on Tuesday that while he would consider opinions from across the board on the case, he wanted to see Park swim in Rio.
"Speaking on a personal basis as a former athlete, I think it would be good if Park went to the Olympics," the former judoka was quoted as saying by Yonhap News.
"My response is based on a question that asked for my personal opinion."