The 31-year-old, who signed from Watford in 2011, made 22 appearances in the Premier League last season, and Solskjaer sees him as an important part of his first-team squad.
Don Cowie offered new Cardiff City deal
Cardiff City midfielder Don Cowie is offered a new deal by the Bluebirds, but the Welsh club release Tommy Smith and Simon Lappin.
Cardiff announce Burgstaller arrival>
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