Foot Mercato says Zizou is Ratfcliffe's 'dream appointment' as he seeks a big-name figurehead to lead his new 'revolution'.
Zidane has declared this week a readiness to "return to the bench" after three years away from the game.
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As Real Madrid coach, Zidane won three Champions League titles and two LaLiga championships.
United manager Erik ten Hag's current deal has less than 18 months to run.