The former France international enjoyed a sensational start to his managerial career as he helped Madrid win the Champions League and La Liga.
He also won the UEFA Super Cup on Tuesday night and reports after the full-time whistle claimed he was close to signing a new three-year deal.
When speaking to the press on Saturday, Zidane has admitted that the club have shown their confidence in him.
He told reporters: "Yes, I am happy, but it does not mean anything. I can sign for 10 years, 20, but I know where I am.
"Here, you live from day to day; within a year you may not be here. I am very happy for this confidence [from the club]. We have worked well and then the goals are always the same - we want to win every game and every possible title.
"We are always in high spirits but now, at such a good moment, we enjoy it to the fullest. If we continue this way, it is because of the effort, being united and preparing the games.
"I know that when we go out onto the pitch we are united."