It was being flown out to the Cuban capital Havana to be given to Che's daughter, Aleida Guevara.
She will keep it at her family home for a short period before handing it over to Cuba's Che Guevara museum.
John, 83, said: "In 50 years of being an artist I never thought I'd make something in Edgeley that would be displayed in Che Guevara's house. It is an unbelievable honour.
"In the sculpture I tried to get across that this is a strong leader who you would follow. He has a strong face and was handsome, the ladies tell me.
"He is still revered in Cuba and is a real icon, his life was cut short so he became a legendary figure.
"This may be my last sculpture so it is a great way to go out."
Dad-of-two John was asked to produce the bust two years ago when he visited the museum while on holiday.
The cast took six months to create and then three months at a foundry where it was filled with bronze.
Since then its safe passage to Cuba has been negotiated.
John, of Edgeley Fold, has previously made a silver oyster sculpture for the Queen's jubilee in 1977 and one of a horse for the Duke of Westminster. He will fly out to Cuba in May for the official unveiling of the bust.
Rafael Sadina Gonzalez, from the Cuban Embassy, said: "Che Guevara was one of the heroes of the Cuban revolution and this sculpture reflects the real Che.
"It shows the friendship between Britain and Cuba and is an example of how British people know our history."
Che Guevara was born in Argentina in 1928 and fought alongside Fidel Castro, who led the Cuban revolution against USA-backed dictator Fulgencio Batista.
He was executed in 1967 in Bolivia while attempting to inspire another revolution.