The Spaniard scored in this week's Capital One Cup win over Arsenal.
Asked if victory at the Emirates had exposed the difference in quality between the squads, Azpilicueta said: "Yes. We felt really confident on the pitch and did a very good game.
"We controlled most of the game. We had two or three more chances but the feeling inside of us was that we were dominating Arsenal in their stadium and they are top of the table, so it's very nice.
"They had some injuries and we are without Marco van Ginkel but we have a really good squad.
"Every player can play, we try to do our best in every game we play, to give 100 per cent and to keep fighting for titles. We need to arrive at the end of the season with chances to win every trophy."
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