The Dutch striker told reporters in Holland he would be open to a move to Feyenoord, where he began his career.
The experience front man said he would be open to playing for two Dutch sides.
One is Feyenoord and the other is Excelsior Rotterdam, where he played in the academy until he was 16, according to The Sun
Van Persie said: “Coming back to Netherlands is becoming an increasingly more serious option. And then only at Feyenoord or Excelsior.”
The 33-year-old striker is showing no sign of slowing down with age, having scored seven goals and assisted three in the Super Lig this season.
One of his goals came on his return to Old Trafford in the Europa League, where the entire stadium stood to applaud the Dutchman’s consolation strike in Fenerbahce’s 4-1 defeat.
He is contracted to the Turkish giants until the end of next season but could return to Rotterdam earlier.
Feyenoord secured the Eredivisie title thanks to a hat-trick from Dirk Kuyt on the final day against Heracles.
The Dutch champions may hope Van Persie would have a similar impact to Kuyt, should he choose to leave Turkey and return to his home country.