The Dutchman has been tasked with returning the Red Devils to glory after a seventh-placed Premier League finish in 2013-14 and brings with him title-winning experience from the Eredivisie, La Liga and the Bundesliga.
The 62-year-old also led Netherlands to third place at the World Cup this summer and Mata is excited to play his style of football.
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"I'm really happy with the manager's style of football and hopefully at the end of the season we can celebrate something, which would be amazing for him and for us."
United are preparing for pre-season matches against LA Galaxy, Roma, Inter and Real Madrid in the United States and Mata is keen to prepare well for a big campaign.
"The most important thing is to get ready step by step and not too hard because injuries can happen," he added.
"It's important for us to prepare physically and mentally for the long season.
"We're focused on improving and trying to learn from the manager, to play at our best level during the season. The main idea is to play as a team and compete for titles."