The 25-year-old said earlier this week that he was looking for a move away from Monaco after the club was relegated from Ligue 1.
L'Equipe has now reported Liverpool and Bolton are interested in the South Korea international, who scored 12 goals during the 2010-11 season for Monaco.
Bolton boss Owen Coyle has reportedly been monitoring the former FC Seoul man's situation, while The Daily Mail claims Reds boss Kenny Dalglish has been scouting the Korean.
Park is believed to be keen on a move to England and said earlier this week he'd like a new challenge at a big club.
"I would like to have new challenge in a stronger team capable of competing in bigger Europe-wide tournaments like the Champions League," said Park.
Park remains contracted with Monaco until mid-2013.