United, who are also involved in a battle for a top-four spot in the Premier League, will face Everton in the FA Cup semi-final at Wembley Stadium on 23 April but the Spanish midfielder wants to go further than the final four while producing a finish as high as possible in the league.
Mata writes in his blog: "The end of the season approaches and all the competitions are now selecting their possible winners.
"Among them is the FA Cup and that's where we want to be: lifting this historic trophy.
"In this complex season we have managed to advance in the FA Cup and now we are very excited with this unique competition that has no equal in the world, with a stadium and atmosphere that make you feel the weight of history.
"Our goal is to play in the Champions League the next season and all we think about right now is to win every single game.
"We are in good spirits ahead of these two games after the win against Aston Villa. The last week was very positive for us and it should help the team to gather momentum for the last few games."