Raul believes Spain have overcome their toughest test in the group stages and expects his team to go on to greater things.
Spain beat Slovenia 3-1 on Sunday with goals from Raul, Juan Carlos Valeron and captain Fernando Hierro.
The victory put Spain in control of Group B after Paraguay and South Africa had played out a 2-2 draw earlier in the day.
Raul's 26th international goal put him level with Spanish legend Emilio Butragueno at second in the all-time Spanish goalscoring list.
But captain Hierro still leads them both and took his haul to 28 goals with the penalty.
Raul was relieved that Spain had made a winning start.
He said: "The first match always has the most nerves and tension and we've won it. The humidity made us suffer a bit but the victory was the essential thing.
"There are no easy opponents but now we're eager for more and this victory will give us confidence. We are happy and relieved.
"There is more to come. I think this is the beginning and everyone is going be surprised at us as we get more confidence.
"We got through the first game and this is the toughest one.
"We have three important points and now everything is in our hands," he said.
Spain coach Jose Antonio Camacho said ending Spain's winless record in opening World Cup matches going back half a century was a huge weight off his shoulders.
He said: "It was too long. Spanish football is better than this.
"Winning the first game is very important as this is the showcase event of them all.
"Slovenia started better than we did but then we took over.
"I thought we played well. If we keep on like this we'll be fine," added Camacho.
Spain play next against Paraguay on Friday, while Slovenia meet South Africa the following day.
Raul said: "There are still two games to go.
"As we have seen in this World Cup, there are no easy games and there are lots of surprises."