Radio Marca says Michel, who comes off contract at Girona this summer, is a candidate at Ajax, where sporting director Jordi Cruyff is thinking big.
Manchester City manager Pep Guardiola is being considered, as is former Barcelona coach Xavi. For the moment, Oscar Garcia is in charge at Ajax as a caretaker.
Michel is another being weighed up, though his contract demands may prove too rich for the Amsterdammers.
The Spaniard is on €3-4m-a-year at Girona, with his salary partly covered by City Football Group, which owns the Catalan club.
Michel has also been mentioned as a successor for Guardiola at City, with doubts persisting over the Sky Blues manager's future beyond the end of this season.
