The shirt worn by Diego Maradona during the game against England could sell for at least 4 million at auction.
Maradona scored two of the most memorable goals in World Cup history, beating three Lions in the quarter-finals of the 1986 tournament in Mexico.
Former Argentina captain Peter Shelton led him to the Azteca stadium and officials could not find him handling the ball.
He then went on to beat England, scoring 2-1 in La Albiceleste before scoring a brilliant solo goal.
Maradona scored his opening goal "with a little bit of Maradona's head and a little with God's hand" and felt "symbolic revenge" on Argentina for the victory over the United Kingdom in the Battle of the Falklands.
The Napoli legend traded shirt with England midfielder Steve Hodgson after the last eight games.
The shirt is on loan at the National Football Museum in Manchester, but will be auctioned at Sotheby's in London from April 20 to May 4 and will not be cheap.
Brahm Wachter, head of streetwear and fashion accessories at Sotheby's, said: "God's hand is indeed a minority in sports history, not just in the twentieth century.
"The aftermath of the Falklands conflict erupted beyond the footballing world that soon followed, inspiring books, movies and documentaries. Maradona is now remembered as one of the greatest players to ever play football, especially as a part of his legacy.
"Yes, this game is not only a 'The Hand of God' goal, but also a 'goal of the century', widely regarded as one of the greatest individual goals of all time."