The result confirms Champions League qualification for La Dea.
“It was tough to believe we'd do it three years in a row, especially this season, as it gets more difficult to keep repeating yourself," Gasperini told Sky Italia.
“The lads had a great reaction from January onwards and managed to secure it with a round to spare, despite having sides like Juventus, Napoli and Milan all close by. All the years have been wonderful, this one was probably even more so."
Atalanta were 4-1 up at Marassi, yet it ended 4-3 after they started to relax.
“Football is a strange sport. The same team that came on so determined and eager to finish the job today with a wonderful first half, ended up not letting their foot off the gas, but grinding to a halt. We were dominating and Genoa deserve credit for coming back into it, but we really did put in a two-faced performance.
“In a way it's good, as being unsatisfied with this performance can help us prepare for Wednesday."