Speculation continues to suggest that the Chile international could be on the move this summer, as he prepares to enter the final 12 months of his contract at Emirates Stadium.
Manchester City have also been credited with holding an interest, but eight-time Olympic gold medal winner Bolt believes Sanchez would be a perfect addition for Jose Mourinho at Old Trafford.
One of United’s most famous supporters told Fox Sports: "I know Alexis. He plays for Arsenal. He should leave.
"He would be great [at United]. He's a player who I've always said [we need] over the years. We need someone who is capable of picking up the ball and creating chances for other people
"He's proven himself to be one of the best."
Sanchez has scored 24 times for Arsenal this season, with only Zlatan Ibrahimovic able to better that return for United.
He has also contributed nine Premier League assists, proving that his game is as much about creativity as it is finishing touches.
The 28-year-old has vowed to hold further talks with Arsenal regarding his future in the summer, but he is yet to offer any suggestion as to whether he is planning to stay put or move on.