The 24-year-old was sidelined for most of this season with a broken leg.
Newcastle United and Trabzonspor have both been linked with the South Korea international, following Bolton’s Premier League exit.
“I haven’t thought about my future yet,” Lee told The Bolton News.
“The season has just finished and I just want to take some holiday now. I’m not going to hurry to think about my future because we have a few months before next season, but I can say now that I am a Bolton Wanderers player.”
“I couldn’t imagine that we are going down to the Championship. And I didn’t expect that when we started the season,” he said.
“But it has happened. It could be much better if we stayed in the Premier League, but I couldn’t do anything because I was injured.
“I’m fully fit now, but I will keep training for next season.
“On our last day of the season the manager said we have many young, talented players and we can give a good performance in the Championship, so we can come back into the Premier League next season.”