He signed a one-year extension to his deal in April after continuing to play an influential part for United, making 38 outings and scoring seven goals.
He headed in an injury-time winner against Manchester City towards the end of the past campaign to maintain United's title challenge but they eventually finished second to Chelsea in the Premier League and lost to Bayern Munich in the Champions League quarter-finals.
The veteran is currently with most of the Red Devils squad in the United States at a pre-season training camp ahead of a five-match summer tour.
"Hopefully next season will be another good one for me," added Scholes, who also turned down an approach from England manager Fabio Capello to come out of international retirement and go to the World Cup in South Africa this summer.
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