Both Scholes and manager Sir Alex Ferguson have announced their retirements in the past week.
"I think we will remember this for a long time," Scholes told MUTV whilst riding the open-top bus. "The scenes here are incredible. I know we won the Treble in 1999 but I don't remember it being anything like this. This is amazing and it is doubly special for the manager after his last game at Old Trafford. The fans have come out to say goodbye, which is nice.
"I think the manager is the biggest attraction today but it was a big season after the failure of last year. We knew we had to bounce back and we have managed to do that. You can see what it does to you. All the hard work is worth it when you see this many people turn up and look so happy."