The Frenchman won three Champions League trophies in a row during his last spell in the dugout at the Santiago Bernabéu, helping to extend their lead as Europes most successful team with their 11th,12th and 13th title - now six more than AC Milan.
But Zidane believes that Real Madrid have to turn their attention back to being successful in La Liga, having won just two league titles compared to Barcelonas seven over the last decade.
"We have won 33 league titles," Zidane said, quoted by Marca. "How many have Barcelona won? Theyve been doing well lately and you have to congratulate them and recognise this.
"But if were talking about Madrids figures, we have more league titles and Im not saying this to defend myself, but because youve told me [Barcelona] are doing better in the league recently.
"We have to change this dynamic. I can tell you that were going to try to start La Liga Santander in the best way possible next season. We have to make La Liga Santander our main objective next year."
Real Madrid are still the most successful team in La Ligas history, with 33 trophies to their name, but Barcelona are catching up and are now on the brink of lifting their 26th league title.
Real Madrid fans wont like the sound of that but its is true. Cup football is short and teams dont face the same opposition to give an even test.
— Gadeaux (@MoStVim) April 24, 2019
Los Blancos are currently 16 points behind Barcelona this season and theyre fighting to confirm their place in next seasons Champions League, but a win against Getafe on Thursday will make qualification all but a mathematical certainty.