Uruguay international Abel Hernandez has told Palmero he wants to leave before the transfer window shuts.
The 23-year-old, who has been linked with Premier League duo Arsenal and Sunderland this summer, has revealed that he hopes to move on.
"The club and the coach told me that I could leave if the right offer was made and I think that has now arrived," the striker told calciomercato.it.
"They know what I want and they know what they promised me."
Genoa and Sassuolo are said to be keen on giving Hernandez the chance to return to Serie A following Palermo's relegation last term.
"I don't want to lose the chance of playing at the World Cup next summer," he said.
"I think playing in Serie A is beautiful, but the desire to be at World Cup 2014 is what has pushed me to ask for a transfer."