Ferguson said he hand-picked David Moyes to follow him into the United hot-seat after 26 years in charge.
But the then Everton boss may not have been Ferguson's first choice, according to Real Madrid chief Perez.
He claims Ferguson approached Ancelotti last year to offer him the chance to take over at Old Trafford, but he claims the Italian opted for Real Madrid instead.
"I'm absolutely sure (they did)," Perez told Radio Cope when asked if United wanted Ancelotti as their manager.
"Not this year, but last year. Ferguson asked him to succeed him."
Former Chelsea boss Ancelotti led Madrid to their 10th European Cup and the Copa del Rey in his first season in charge at the Bernabeu.
Moyes was sacked just 10 months into his six-year contract after United failed to secure Champions League qualification for the first time in 24 years.
Holland coach Louis van Gaal will take over the helm at Old Trafford following the World Cup.
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