Allardyce, 55, underwent an angioplasty, a procedure to correct narrowing to one branch of his coronary arteries, on Friday
Allardyce: "I would like to thank everyone who has sent messages of goodwill and the entire cardiology team."
It is not yet known whether the manager will be fit enough to return to his duties ahead of Wednesday's Carling Cup quarter-final against Chelsea, although it is anticipated that he will be back in time for the Premier League clash with Liverpool at Ewood Park on December 5.