Ribery ended his 12-year spell with Bayern when his contract expired at the end of last season.
The ex-France international has yet to find a new club but is thought to be open to a move to the Premier League with Everton.
Toffees owner Farhad Moshiri likes the idea of signing big-name players who can raise the club's profile, but manager Marco Silva is still unsure on Ribery.
The 36-year-old has received offers from the United States and Asia, while Serie A side Fiorentina are also weighing up a move for the nine-time Bundesliga champion.
Ribery scored 124 goals in 425 appearances for Bayern following his transfer from Marseille in 2007.
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