"If he is ready, he will have a trial," Sanchez told Sports Khan of the former Feyenoord man.
"The report that Fulham have offered Song Chung-guk a trial is correct. We have been in contact with his agent and we hope to have a trial next week.
"We are thinking about signing a full back during the winter transfer window and Song Chong-guk could fit the bill.
"The faster he has a trial the better. It will be good if he comes to England soon."