Various sources suggest the former Verona defender could rejoin Paris FC, were he enjoyed a good loan stint in the second half of last season.
The suggestion is of a more permanent deal this time for up to £17 million, which would be about double what the Seagulls paid for him.
Paris FC enjoyed a strong finish to last season in Ligue Un with Coppola but have now replaced head coach Antoine Kombouare with former Albion full-back Liam Rosenior.
The Seagulls have already parted company with Jan Paul van Hecke and Adam Webster this summer, with Igor Julio and Eiran Cashin expected to follow.
Lewis Dunk remains on board along with Olivier Boscagli heading into pre-season.
But this area of the pitch appears to be one undergoing a significant rebuild this summer with Michael Svoboda and Pascal Struijk having signed and Luka Vuskovic expected to follow.
Coppola, who reported to Lancing for pre-season training this week, had been linked with Lazio.
But reports had been consistent in stating he was not the first choice of new boss Gennaro Gattuso.
Coppola has impressed with his professionalism and work ethic on a daily basis at Albion.
But he has found playing time, especially in the Premier League, very hard to come by.