"Of course we can still win the World Cup," he said.
"We are Germany and we want to win every game, that's clear. Things like this can happen, you can lose a game, but now you have to get up as quickly as possible and find the best solution.
"It is better to lose the first game than the fourth or fifth. Spain lost their first match in the World Cup in South Africa and ended up being the champions. Now what we have to do is win the next match against Sweden."
Germany had little answer to Mexico's swashbuckling approach and Werner admits they were good value for all three points.
"They played a great game, especially in the first half," he added.
"They beat us because we made two or three mistakes more than in other past matches. But that's no excuse, because Mexico is a great team."