It had been widely suggested that the Brazilian would be sold in the coming weeks following a series of disappointing performances last season.
However, Zubizarreta has claimed that the Catalan outfit are "delighted" with the right-back.
"We are delighted with Dani Alves. When he's back we'll talk to him. But we are delighted with him," Zubizarreta told AS.
Paris Saint-Germain are believed to be interested in the defender.