The 76-year-old Ferguson underwent the emergency operation on Saturday.
'Sir Alex no longer needs intensive care, ' the statement read.
The 36-year-old midfielder has won five Premier League titles, the Champions League, Europa League, FA Cup, three League Cup trophies and the Club World Cup since joining United from Tottenham Hotspur in 2006.
BC-SOC-Man United-Ferguson's Health, 1st Ld-Writethru, 214 Man United says Ferguson out of intensive care after surgeryAP Photo LON826Eds: Updates with more detail, quotes.
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The legendary Manchester United and Aberdeen manager collapsed at his home last Saturday.
"They are positive, they are very positive". During nearly 27 years as manager of United, Ferguson won 38 titles at United.
United have already qualified for next season's Champions League and just need a point to guarantee finishing in second place behind arch-rivals and title winners Manchester City who were presented with the Premier League trophy at the weekend.
Tributes and get well messages have been flooding in from football figures worldwide.
He duly did so as United overtook Liverpool as the most successful side in English domestic football.
Half of people who suffer a brain haemorrhage die within two days.
Earlier on Wednesday, current United manager Jose Mourinho said the club are "very positive" Ferguson would make a full recovery. "Everyone thinks it was all this "hairdryer", but the boss enjoys a good time, really enjoys his racing and is good company when you're around him".