Inter sporting director Piero Ausilio last month suggested a new offer was on the table for Icardi, but Nara says the two parties are not close to an agreement.
"Icardi's renewal with Inter is a very long way off as things stand today," she said.
"There are very important clubs that are interested in signing Mauro and we are very far from reaching an agreement [with Inter]. The figures that are being talked about in Italy about his contract renewal are not accurate. So far, we have not received a satisfactory offer from Inter.
"We are not ruling out reaching an agreement at some stage, but at the moment we are a long way off from that.
"It's not logical for Mauro to renew on the same salary that he receives now. We believe that Mauro is at a superior level.
Icardi has scored nine goals in 16 Serie A appearances this season for third-place Inter.