In his first full season in charge in 2016-17, Zidane led Madrid to four trophies – including the Champions League and La Liga.
Madrid 10/11 to win La Liga
It marked Madrid’s first league title since 2012, while the European triumph was their record 12th.
Beckham, who was at the club from 2003-07, visited Madrid in Los Angeles on Tuesday and said he was thrilled for his former team-mate Zidane.
“Last season was a special one,” the Englishman told Madrid’s website.
“The final months of the season were incredible. To see the team play as they did made me proud.
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“I’m very happy to see Zidane doing such a good job, everyone likes Zidane.”
Zidane’s men are next in action with a clash against Manchester City at the International Champions Cup on Wednesday.