The 38-year-old is currently a free agent after leaving Fiorentina at the end of the 2020/2021 season.
Ribery spent two seasons in Florence and scored five goals in 50 Serie A appearances while laying on nine assists for his teammates.
The former Galatasaray man won nine Bundesliga titles and the UEFA Champions League among numerous other honours during a 12-year stint with Bayern Munich and will bring a lot of experience to the Estadio Arechi side.
Salernitana sporting director Angelo Fabiani has confirmed that an offer has been tabled before Ribery and are awaiting a response from the France veteran who is keen on remaining in Italy.
"It is true that there may be an interest in this player," Fabiani told Radio Kiss Kiss Napoli. "But to make marriages you have to have two.
"We have the idea. To find an agreement, it takes days, continuous talks. It is not even an economic problem, it is a problem of feasibility.
"Salernitana may be interested, but the player's agreement must also arrive.
"At Salernitana, there is not only Simy. We have a strong team with many players who are certainties. The squad is complete in all its departments.
"Then if a cherry comes on the cake like Ribery, it will all be worth it.
"Bringing Ribery to Salerno would be like bringing Maradona to Naples. The player would raise the global vision of football in a market like ours.
"The offer is there and the player is evaluating it. We are confident."
Salernitana are winless in their first two Serie A matches of the season and will travel to Torino after the international break.
