The 21-year-old, who is set to feature against Milan in tonight's second-leg Coppa Italia semi-final at the Renzo Barbera, continues to be linked with the two Spanish giants.
Speaking on his official website, the Argentina international offered a detailed view on his future.
"There is still no formal offer of any of the clubs [Real Madrid and Barcelona], but it would be a huge honour, a dream, to play in either. They are the best teams in the world! But now I think only of Palermo. I am very well here," Pastore said on pastorejavier.com.
"They do not fight for having me. The press says, but for me there was no formal offer yet, so I cannot say. Also it is a great honour for me, or representatives of those clubs at some point have made positive comments about my game. It is the greatest of compliments.
"I'm fine in Palermo, very happy. Surely my turn to go will come at some point, but it's not something I think about. For now this is my place, Palermo is a great club."
The Sicilians are tied 2-2 on aggregate following the first-leg in Milan last month.