The 32-year-old former Italy striker spent the end of last season loan to Cesena and is reportedly set to leave the Old Lady this summer.
Iaquinta's agent, Andrea D'Amico, says the player could move to England and confirmed Fulham as a potential destination.
"We are verifying a number of different options for Iaquinta in Italy, but especially in England," D'Amico told Calcio Sport 24.
"Fulham? That is a concrete hypothesis."
Fulham are looking to bolster their frontline after Andrew Johnson, Pavel Pogrebnyak and Orlando Sa all departed this summer, while Bobby Zamora left the club in the January transfer window.
Martin Jol's only attacking signings this summer are free agents Mladen Petric and Hugo Rodallega.