Van Persie scored within 50 seconds of his introduction on Thursday as reigning Dutch champions Feyenoord defeated Groningen 3-0.
The 34-year-old returned to his boyhood club last month, having initially left Feyenoord in 2004 for Arsenal before moving on to United and Fenerbahce.
And Van Persie gave fans at De Kuip plenty to smile about after he produced a powerful strike from inside the box to put Feyenoord 3-0 ahead with 11 minutes remaining.
Feyenoord are fourth in Eredivisie, 19 points behind leaders and rivals PSV.
Van Persie made his debut with Feyenoord as a 17-year-old during the 2001-02 season.