The Colombian midfielder is currently taking in a loan spell in Serie A, during which he has caught the eye of sides across Europe.
His parent club Atletico Nacional have already agreed a deal with Pescara, with a clause in Quintero's contract offering them first refusal on his signature.
It is expected that the Italian side will take up that option, before offloading the 20-year-old at a profit.
It is likely that he will head away from Italy in the summer, with Quintero's representative revealing that all options remain open.
"He is a player who has many admirers in Italy and the big clubs would like him," Riccardo Calleri told TMW.
"However, it would be easier to see him move to a European giant seeing as he is being followed heavily by foreign sides."