Carlo Ancelotti's side will finish La Liga in second place, after being eliminated from the Champions League semi-finals and the last 16 of the Copa del Rey.
However, Perez insists that the club will not give up in their pursuit of dominance, both in Spain and Europe.
"This week is the celebration of the first anniversary of La Decima," the Blancos supremo said at the launch of a new club app.
"Madrid do not give up, neither do Madrid fans. And we will try to achieve La Undecima.
"Real Madrid have no boundaries. Real Madrid is a feeling and an emotion. We all share the victories and the glories.
"We are united by these feelings and principles. The team must be among the best in the world."
Madrid end their 2014-15 campaign with a derby clash against Getafe at the Santiago Bernabeu on Saturday.
