1-3: Superb win in the Clásico
Valverde's strike came before Ramos and Modric goals in a superb second half to give Real Madrid all three points at Camp Nou and put them top of LaLiga.
“In the second half we had two or three chances to score a fourth”, said the coach.
"We picked up three points that will give us confidence going into the upcoming games", said Courtois.
The Croat, who scored to make it 1-3 at the Camp Nou, reaches this feat in his ninth season at the club.
The madridista captain equalled Gento and Raúl's 31 appearances in the competition's showpiece clash.
The Frenchman set up Valverde for Madrid's first goal in the Clásico.
The president presented him with a commemorative jersey.
The Whites' next Champions League opposition beat Mainz 05 in the Bundesliga.
Raúl's men will be looking to build on their win in the first league clash (12:00pm CEST).
"It's a derby and we'll miss out fans", added the madridista coach.
The in-person auction will be held on 4 November, but bids can now be placed online. The proceeds will go towards the Real Madrid Foundation's projects.
Zidane's team travel to Mestalla on match day 9 of the LaLiga season.
Following the first year of redevelopment work, the transformation of the madridistas' stadium is now apparent.
Real Madrid are celebrating the anniversaries of the club's 13 European Cup triumphs during the period between 11 May and 13 June.