"Great moments that a strong referee needs, under pressure, not to make wrong decisions, basically."
However, England coach Gareth Southgate admitted that his team was not good enough as Spain recovered from Marcus Rashford's first goal to advance before the break with Saul Niguez and Rodrigo.
Despite the joy of reaching the last four in Russia, England have lost three consecutive games for the first time in 30 years.
"We have to accept that Spain was better than us during long periods of the game," Southgate said.
"His retention of the ball was first class, we were a bit disconnected in our pressure, but even when you press well against them they have some wonderful players.
"We can not do that when the teams press high against us yet."
However, there was some relief for England, as left-back Luke Shaw confirmed that he was fine after being knocked down early in the second half with an unpleasant head injury.
Kane was presented with his Golden Boot for being the top scorer in the World Cup in a buoyant atmosphere before the kickoff that continued with a quick start by the hosts, thanks in large part to the unfortunate Shaw.
The Manchester United left-back was making his first international start in three years after suffering a leg injury and a loss of form in the last two seasons.
Kane freed Shaw from the left in the 11th minute and his stock center curved perfectly in the way of Rashford to overtake his teammate, De Gea.
However, the English fans had barely regained their seats by the time Spain drew two minutes later when Saul swept Rodrigo's cross.
De Gea denies England
England's strength in the set-pieces was one of the key factors for their success in the World Cup, but they were easily overtaken by the winner by a simple free kick by Thiago Alcantara that Rodrigo scored at home at the near post.
De Gea had been labeled as one of the main culprits of the poor results of Spain when he was knocked out by the hosts in the last 16 in Russia, as he made only one save in the whole competition.
However, the United goalkeeper produced the kind of sensational attack he routinely performs at the club level to deny Rashford an instant equalizer with a powerful header from point to point.
"I am especially happy with the performance of De Gea," said Enrique.
"We have one of the best goalkeepers in the world, he has shown this for many years in the Premier League, we are talking about a high level player."
The second period had barely begun when Shaw suffered a terrible blow to the head when he collided with Dani Carvajal.
There was a five-minute stoppage when Shaw was carefully transported from the field on a stretcher and with an oxygen mask tied around his face.
England, however, finished the strongest and only De Gea with two more impressive saves from Rashford and the referee denied them at least part of the points.