West Ham manager David Moyes has described reaching a third successive major European quarter-final as a "brilliant achievement".
The Hammers registered their biggest European win by beating Freiburg 5-0 at the London Stadium.
They will be part of Friday's Europa League last-eight draw - the first time they have reached that stage in three successive seasons.
Goals from Lucas Paqueta, Jarrod Bowen, Aaron Cresswell and a brilliant Mohamed Kudus double also took West Ham to their biggest win since Moyes came back to the club in December 2019. That was when they faced a battle to beat the drop, which wasn't avoided until the final couple of games.