The Blues were beaten 1-0 in the final of the Club World Cup by Brazilian outfit Corinthians on Sunday and although it was a very disappointing result, Mata tried to remain positive for the supporters.
"It's a tough moment, especially for the Chelsea fans that came to Japan and those who were supporting us from home," said the Spaniard.
"Thank you so much to all of you for your unconditional support.
"I hope we can enjoy good moments and lift more trophies for the club and for you very soon. We're still playing to win four trophies and we will give everything we have to success in each of them.
"Besides, who knows, we may play this tournament again one day. That would be a very good sign."