Aquilani, who spent last season on-loan at Juventus, has recently been linked with the likes of AC Milan and Fiorentina.
“All I can say is that there has been a lot of talk,” Aquilani said.
“I wasn’t following the Italian media much over the summer, but whatever happens I am at a great club like Liverpool.
“I’d love to make my mark at Liverpool. The transfer market is open until August 31, so we’ll see what happens.
“Obviously I would take the offer of a permanent move into consideration with Liverpool.”