The midfielder scored 12 goals this season, impressing Ole Gunnar Solskjaer, and insists he cannot wait to get started at his new club despite their recent relegation
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The move to Wales ends a three-year spell in the Austrian capital for Burgstaller, where he has experienced Europa League football, challenged for the league title and earned his first international call-up.
And the 25-year-old cannot wait to get started at Cardiff, who finished bottom of the Premier League this season.
"My decision to join Cardiff City was never in question when the club first contacted me," he told the club's official website. "It has always been a dream for me to play in this country.
"I've followed Cardiff in the Premier League last season and I'm very proud and honoured to be given the chance to wear the Cardiff City jersey.
"I'm a big admirer of the passion of the fans here."