The former Manchester United and England captain, who played for the Spanish giants in between 2003 and 2007, is confident that the Portuguese tactician can help Los Blancos restore pride in the La Liga following a few seasons of Barcelona dominance.
"They have one of the best coaches in the world. Mourinho is a genius and he has proved that with all the teams he has coached," Bekcham told Marca.
"Madrid are building a powerful side with important players and they can win all the competitions.
"They are a team that strikes fear (into their rivals) and I have no doubt they will be able to win everything."