Quemada played club hockey in Spain for Club Egara before moving to Larensche Mixed Hockey Club in the Netherlands in 2005. He left them after one season because they were relegated. He decided to go to Belgium to play for KHC Leuven, where he played for three seasons, before returning to Spain to play for Real Club de Polo. Pau played there from 2009 until 2011, when he returned to Leuven. After eleven years away from Club Egara, he returned to the club in 2016. He returned to Leuven for a third period in Belgium after his retirement as an international player in 2021.