The Korean winger made 28 appearances in 2011/12, but was limited to a substitute role for much of the second half of the campaign.
Nevertheless, the 31-year-old told reporters in his homeland that he wants to see out his playing days at Old Trafford and help the Reds recover from this year's title heartache.
"It was a disappointing end to the season, both for the team and me personally," said Park, whose contract expires at the end of next season.
"But the past is the past and we must look forward. I'll focus on what to do from now on. It's true that I want to retire at United, but it does not depend on me.
"The season is over now; I just want to take a rest and not think about anything."