The Valencian businessman, a member of the club since 1998 and briefly president in 2009, intends to run against the incumbent Perez in 2021.
Perez, who took over from Boluda in 2009 after the latter had taken office temporarily following Ramon Calderon's resignation, was re-elected unopposed for a new four-year term in 2017.
"Real Madrid have a president who is doing really well," Boluda said at a business event in Valencia on Monday, according to Cadena SER.
"It's another thing that, next year, there will be new elections and I want there to be elections, and for that there have to be two candidates and one has to be different to the one that's there.
"I will present myself [as a candidate]."
Boluda, who stated Madrid need three major signings, added that the president of the club can "go to any country and they treat you like you're the president of the government. It multiplies everything, for the good and the bad."
Meanwhile, Perez has issued a call to Madrid fans to get behind the team for 2020 as the club looks to establish itself as "the most loved and admired sporting institution in the world".
"As we all know, Real Madrid is a universal feeling that unites millions of people around the world," he said via the club's website. "To our members and fans, I wish you a happy holiday season in the company of your families and loved ones.
"For this new year, I ask for health, work and happiness for everyone. We want the year 2020 to be a year of success and titles for our football and basketball teams. We will always keep in mind our motto of never giving up and we will continue working with the same enthusiasm so that Real Madrid continues to be the most loved and admired sporting institution in the world."