After arriving from Chelsea in January the Spaniard found the net six times for the outgoing champions, and he is backing the team to come back stronger next season
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A meek title defence cost manager David Moyes his job last month and interim boss Ryan Giggs was left to guide the club into seventh place, leaving them without European football next season for the first time in 25 years.
Mata arrived at Old Trafford from Chelsea in January and has made 15 appearances in the Premier League, scoring six goals, but he was unable to revive their fortunes.
The Spaniard scored United's goal in their 1-1 draw with Southampton on the final day of the season and expects the club to come back stronger.
"Personally, I'm quite happy because I've played a lot of games, I've scored six goals and gave five assists, so I'm happy with my job," he told MUTV.
"But obviously I wanted to win more games, we lost games where we didn't play very well, so I'm not happy with that.
"I'll keep going to fight for the titles.
"I'm looking forward to next season to see how I can perform and how we can be back even stronger.
"The best thing to do is to come back and win trophies, so we will try to do that next season."