The Welshman guided the Red Devils to a 3-1 victory over Hull City at Old Trafford on Tuesday night in the team's final match at home for the 2013/14 season.
Giggs, who took over just three games ago, spoke to the United faithful after the win over the Tigers to assure them that success will soon be back at the Theatre of Dreams.
"We know it has been tough this season and over the years we have been spoiled with the success we have had," he said.
"Your support this year has never changed, you have always supported the team and the staff. I'm sure in the coming years we will bring you more success.
"I would just like to say, keep supporting us, you have seen a little glimpse of the future, and this is what this club is about.
"It never stands still, we always give youth a chance and we try and play attractive football.
"Sometimes we don't win, but we give it our all. Keep supporting us and the good times will come back soon."
Debutant James Wilson scored a double for United before he was replaced by Robin van Persie after the hour-mark prior to the Dutchman wrapping up proceedings after Matt Fryatt had pulled one back for Hull.
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