The Scottish midfielder believes it has provided the perfect boost leading in to the close season ahead of the tour to the United States in July.
"The lads loved the parade," he told MUTV. "Even though it's raining, the turn-out is fantastic. Obviously a few of the lads were down after Saturday when we met up this morning but the fans have picked us up.
"This is my first parade like this. I remember watching the one in 1999 and thinking how amazing it was. I can't believe the turn-out. The lads are really surprised and genuinely humbled by this turn-out. It makes us realise again what great fans we've got.
"The boss told us to enjoy ourselves and remember we've won the league, the 19th title. We also got to the Champions league final and it's been a fantastic season. Ultimately the last game was a disappointment and that's the one you tend to remember but I think today is going to see us out on a high. I think we have just gone away after the Champions League final then the lads would have been really down. It's given us another boost and a reminder of how good it is to win the league."