Delivering a speech to the home faithful in the aftermath of their 3-1 win over Hull City, the 40-year-old paid tribute to Nemanja Vidic, who will leave the club to join Inter at the end of this season, before looking ahead after a difficult campaign.
The Welshman said: "I'd just like to say a big thank you from all the players and staff for your support this year.
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"We know it's been tough this season and over the years we've been spoilt with the success we've had, but your support has never changed.
"I'm sure in the coming years we'll bring you more success.
"I'd like to say keep supporting us. You've seen a glimpse of the future tonight [in 18-year-old James Wilson's two goals] and that's what this club's about.
"We'll always give youth a chance and play attacking football. Keep supporting us and the good times will come back soon."
Giggs brought both himself and Vidic on as his side saw off Steve Bruce's Tigers, with youngster Wilson netting twice on his debut alongside fellow first-timer Tom Lawrence. Matty Fryatt then hit a fine reply for the visitors before Robin van Persie got in on the action late on.