The Arsenal man feels Les Bleus have nothing to be ashamed of after their quarter-final loss to the Furia Roja, and is confident they will improve their form over time
Xabi Alonso gave the titleholders the lead in the opening 45 minutes, before putting the match to bed after the break with his second goal of the game from the penalty spot to make it 2-0.
"We have seen for some time that Spain play the most beautiful football and win trophies, so it was a tough match for us," Koscielny stated to Uefa.com.
"Spain have the skill to keep possession and make their opponent chase the ball, and this is very energy consuming.
"We could have scored if we had been more accurate in terms of technique, but we are, nonetheless, leaving with our heads held high.
"It is no use being consumed by regret now. I only want to look to the future. I think this tournament has helped us improve; let's not forget that we are a young team. I think we will get better with time."
France will start their qualification campaign for the 2014 World Cup on September 7 with an away game versus Finland.