Odriozola, 22, is reportedly a target for Madrid, who are said to be ready to make a €40 million (£35m/$47m) move for the full-back.
But Aperribay played down the speculation, saying Madrid were yet to make contact about the two-time Spain international, who is contracted until 2022.
"Up until now nobody has called and so we are not going to talk about hypothetical situations," he told a news conference on Wednesday.
"Real Madrid have not called us and so we will not talk about what has not happened and no-one has said will happen.
"If they call us then we will speak but they haven't called."
Also capable of playing as a winger, Odriozola is part of Spain's 23-man squad for the World Cup .