"Thank you for all your positive thoughts and get well wishes," she wrote. "I'm doing really well, on the mend, super happy, relaxed and very positive with it all. The operation was a success and I'm just chilling out now until I get the all clear from my doctors."
She then thanked fans who "voted for the awards I've won recently as well" and ended by remarking she "best get back to practicing my mime show now. Take care, miss you all."
The singer had the procedure done earlier this month at Massachusetts General Hospital under the direction of the same surgeon who performed a similar procedure on Aerosmith's Steven Tyler.
Her throat problems have plagued her throughout her year in the spotlight. On Oct. 7, Adele was set to kick off a string of U.S. tour dates -- rescheduled from a June bout of laryngitis -- but announced that she would be unable to perform due to the vocal cord hemorrhage.