The attacking midfielder arrived at Old Trafford from Chelsea for a club-record fee of around £37.1 million in the January transfer window as the Red Devils seek star quality to improve on their seventh place in the Premier League.
Despite a 2-1 defeat to Stoke City, Mata showed a glimpse of his ability with an assist for Robin van Persie on Saturday in his second game for the club, and Giggs is confident that the new man can be hugely influential.
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"He's obviously got the talent. I don't want to put too much pressure on him but I don't see why not."
The 40-year-old feels that Mata's arrival has been a big boost to morale, enthusing: "The players are just like the fans. When they see a quality player come through the door, it gives them that excitement and you feel it around training. It gives everybody a lift.
"We've played against him for the last three years and know the quality he has got.
"Coming here will help him with regards to playing for Spain if he is playing week in and week out," the veteran added of Mata's World Cup 2014 hopes.