United finished second in the Premier League last season, 19 points behind fierce rivals Manchester City.
But Jose Mourinho was heavily criticised throughout the campaign for his negative tactics.
The Portuguese was also questioned over the way he treated certain players.
Paul Pogba was publicly called out by his manager for his poor performances, while Marcus Rashford and Anthony Martial saw their gametime severely limited following the January arrival of Alexis Sanchez.
Mourinho is desperate for fresh faces this summer as they look to close the gap on City.
And Giggs has warned United’s players to take risks in games if they want to win over the fans and be successful.
"First of all, I was a Manchester United fan," he told ESPN FC.
"I used to climb over the fence when I was a seven, eight-year-old, get the match bus to Old Trafford.
"Right from when I can remember, I used to go to Old Trafford and then, fast-forward to 17, 18, I played for the first team.
“I understand how the club works, what the fans want, because I was a fan.
"I was also a player who wanted to excite the crowd, to get the fans on their feet.
“I want to see exciting players. I want to see Rashford, I want to see Martial, I want to see Pogba try things. That's what I tried to do when I was playing."