The cutout is autographed by all four Beatles.
Following the shoot on March 30, 1967, Mr Cooper's photography assistant was given the 20-inch tall cardboard gnome as a souvenir by the band, who each signed it.
The model has emerged for sale almost 50 years later after being listed for auction by a private collector. Auctioneers in the US have valued the gnome, which has some water damage, at about £17,000. Dean Harmeyer, of Heritage Auctions, said: 'This is a true rarity and a cornerstone piece of any Beatles collection.'