Barcelona, the team with the most Copa del Rey titles, is set to face Athletic Bilbao in the upcoming matches, while Atletico Madrid will host Sevilla.
Atletico Madrid secured a 4-2 victory over defending champions Real Madrid with goals from Antoine Griezmann and Rodrigo Riquelme during extra time.
Barcelona also advanced to the quarter-finals with a 3-1 win over Unionistas de Salamanca.
Additionally, Celta Vigo will play against Real Sociedad, and Real Mallorca will host surprise La Liga leaders Girona in the one-match quarter-finals.
Quarter-final draw (all times GMT):
Tuesday, January 23
Celta Vigo v Real Sociedad (2030)
Wednesday, January 24
Real Mallorca v Gerona (1830)
Athletic Bilbao v Barcelona (2030)
Thursday, January 25
Atletico Madrid v FC Sevilla (2000)