Villa, 31, has struggled to regain his place in the Barcelona team after returning from a broken leg that saw him miss six months of last season, and he has been linked with a move away from the Catalan giants in recent weeks, with Arsenal supposedly monitoring the Spanish international’s situation.
Zubizarreta ruled out a move for Villa, though, and was keen to stress he is still a key member of the Blaugrana squad.
"In January we will keep Villa,” Zubizarreta told Canal Plus. “And it is important to remember that Barcelona is a club that habitually does not accept offers for star players in January.
"David is a player that brings goals and intensity to the team. Now he has recovered from a serious injury I believe that he is offering a good level on the field.”
Villa moved to Barcelona in 2010 for 40 million euros after five successful years with Valencia. He has eight goals in 15 appearances across all competitions this season.