Chelsea have made Ribery their number one target this summer, while Manchester United have also monitored the 26-year-old, who is set to command a £50m price tag should he leave Bayern.
But with Cristiano Ronaldo leaving United for Real and Brazilian forward Kaka rejecting late overtures from Chelsea to move to the Bernabeu, Ribery's decision to pursue a move to Madrid appears to have left the Premier League trailing La Liga once again.
Ribery's agent, Alan Miglaccio, said: "The player has spoken with (Real sporting adviser) Zinedine Zidane and wants to sign for Real.
"At this time any move is off because the people at Bayern are on holiday until the end of the month. I cannot say anything more until we meet with them in the coming weeks."