Each of the last three matches between the two sides have ended in draws, but Barcelona beat Atletico 4-1 at the Camp Nou in the league last season.
"I ask the club members and fans to come to the stadium in numbers and support the team," Bartomeu told reporters at a press conference.
"It's a tough match against the league leaders. I'm not sure whether Costa will play, that's down to his coach. Whoever plays will be dangerous though, they are all very good players.
"We are two teams who know each other every well, having already met several times this season. There are no favourites though. We're going to fight to win a very difficult quarter final."
Barcelona currently trail league leaders Atletico by one point in the La Liga table.