Krychowiak was originally pursued by the Gunners during the summer transfer window, but elected to stay in Spain, where he recently signed a contract extension keeping him at Sevilla until 2019.
However, the 25-year-old has not completely ruled out a move to the Premier League.
"The Premier League? Some say it's the best in the world, other people think that's La Liga," Krychowiak told FourFourTwo.
"I've heard about Arsenal, but I leave it to my agent.
"I trust him and he's the one who deals with that kind of the stuff.
"I can't think about things like that. I have to keep my mind free of any distraction and just focus on doing my job for Sevilla."