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 both the supporters and club captain Nemanja Vidic, who leaves the club for Inter at the end of this season
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."
Giggs, in his penultimate match in charge before Loius van Gaal is named as David Moyes' permanent successor, chose to hand debuts to teenagers James Wilson and Tom Lawrence.
His decision was vindicated, as Wilson found the net twice while fellow Academy graduate Adnan Januzaj put in a fine display, and the Welshman believes the future is certainly bright at Old Trafford
"I'd like to say keep supporting us. You've seen a glimpse of the future tonight 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 off the bench against the Tigers, though with rumours abound that he will retire at the end of the campaign, the winger refused to be drawn on whether he still has a future on the field.
"I've not decided yet. Nothing's changed. We'll wait till the season's finished, go on holiday and I'll think about it," he told reporters.
Giggs and Vidic, along with Patrice Evra and Rio Ferdinand, are the quartet whose departures have been most heavily reported, and though Evra was missing with a stomach bug, Giggs suggested Ferdinand had also played his last game at the home of the 20-time English champions
"We organised for Saturday [against Sunderland] to be his last game. His kids were mascots and I tried to organise that when I took over."