The right-back's current deal expires at the end of the season but it was thought he would sign an extension as a result of Barca's transfer ban, which prevents them from making any signings until 2016.
But, despite risking leaving themselves short in defence, the club have not been in touch with Alves and his representative has been angered by the Catalans' approach.
"They haven't contacted us," Dinorah Santana told Cadena SER.
"I interpret that silence to mean they don't want Dani Alves, so we will begin searching for a new club.
"We won't wait for Barcelona, they have to take the plunge. Alves has spent seven years here and he has behaved like a professional at all times.
"Barcelona have not had a sports director for a month and Alves is free to negotiate with any club. Zubizarreta didn't tell us anything."
Alves joined Barcelona in 2008 after spending six years with Sevilla, where he won the Uefa Cup in successive seasons in 2006 and 2007.
The 31-year-old has since gone on to lift the Champions League twice with the Blaugrana, as well as four La Liga titles.
Alves joined Barcelona in 2008 after spending six years with Sevilla, where he won the Uefa Cup in successive seasons in 2006 and 2007.
The 31-year-old has since gone on to lift the Champions League twice with the Blaugrana, as well as four La Liga titles.
