Vicente del Bosque believes Spain proved the side's doubters wrong by beating France 1-0 in their World Cup qualifying match on Tuesday evening.
The reigning world champions produced an accomplished display in Paris to seal all three points, as Pedro scored the game's only goal in the 58th minute.
Their trainer praised his team following the win that took them back to the top of Group I, with three games left to play.
"People always have doubts. So this result is important," the 62-year-old told AS after the final whistle.
"We showed conviction to stick to our style.
"We played very well. We were a bit messy when they had 10 men but everyone played very well."
The Spain coach singled out Alvaro Arbeloa for particular praise, after he kept Franck Ribery quiet for much of the game.
"Arbeloa was fantastic up against Ribery," said del Bosque.
With their next World Cup qualification game not until September, Del Bosque has turned his attentions to this summer's Confederations Cup.
He said: "The next step is the Confederations Cup and then we must prepare for the remaining World Cup qualification games. We have three games left and we have to finish the job."
Despite scoring the goal that won Spain all three points, Pedro was unhappy that he was not given a penalty after an incident with Hugo Lloris.
The 25-year-old appeared to be caught by France's goalkeeper after racing on to a pass from Andres Iniesta in the 32nd minute, but the referee Viktor Kassai waved play on.
"For me it was a penalty," the Barcelona attacker told AS.
"I have seen it on camera. He [Lloris] touched me and I rolled."
On his goal, he said: "I'm not sure how I did it, but I managed to touch the ball in.
"The most important thing is we won. Winning here was crucial and we knew we couldn't afford to fail. I'm really happy with how things turned out."
Spain sit one point ahead of France in Group I. The next round of World Cup qualification matches is in September.