Reports had suggested that Roma were keen to lure the Spaniard to Serie A and both clubs were open to an exchange involving their strikers.
And while Renzo Contratto claims the Blues are interested in bringing the Italy international to Stamford Bridge, it is highly unlikely that Destro will leave the Giallorossi this summer.
"It's true that Chelsea are interested in Mattia," Destro'sagent told Press Association Sport on Thursday. "But the reports regarding a swap deal have no foundation, it's all speculation.
"Roma don't want to sell Mattia and Mattia prefers to remain at Roma."
The 23-year-old Destro was Roma's top scorer last season with 13 league goals to help the Eternal City outfit finish runners-up to Juventus in Serie A.
Destro moved to Roma in the summer of 2012 from Genoa and is under contract with the Giallorossi for another three seasons.