Jordan, one of several summer signings by Sevilla, finished off a shot by Luuk de Jong that was blocked by a sliding defender after Jordan set up his striker in the 52nd minute.
Granada, promoted this season, succeeded through its pressure to disarm Sevilla’s attack in the first half, but the host’s efforts waned after Jordan’s goal.
"We are very motivated and I think we can get a lot better," Jordan, a former Eibar player, said.
The visitors lost right back Sergio Reguilon when he couldn’t recover from a hard head knock with Granada’s Victor Diaz and was carried off on a stretcher in tears in the 18th.
Sevilla is coached by former Spain and Real Madrid manager Julen Lopetegui. It won its opener last weekend at Espanyol 2-0.