Son was red carded by referee Martin Atkinson for the challenge on Andre Gomes that saw the Portuguese international suffer a horrific ankle injury.
Son’s challenge on the former Barcelona midfielder was innocuous but the damage it inflicted was horrible as Gomes clashed into Serge Aurier before writhing down in pain.
Referee Martin Atkinson initially pulled out his yellow card but after seeing the damage on Gomes and consulting with VAR officials, he decided to change the colour to red.
The Premier League released a statement shortly after to clarify why the South Korean was sent off which read: “The red card for Son was for endangering the safety of a player which happened as a consequence of his initial challenge.”
Tottenham launched an appeal to have the red card rescinded which has proved successful.
"Heung-min Son will be available for Tottenham Hotspur FC's next three domestic fixtures after an independent Regulatory Commission upheld a claim of wrongful dismissal," the FA said in a statement.
"The forward was sent off for serious foul play during the Premier League fixture against Everton FC on Sunday 3 November 2019."
On the overturning of Son's red card, Mauricio Pochettino said: "It was good for everyone but most importantly it is fair.
"What we cannot do now is change the result now because when it happened it was 1-0 to us and playing with 10 men for nearly 15-20 minutes was the key to drawing the game.
"I was confident (it would be overturned). We were all confused after the game, I was talking with different people and of course with the referee too.
"There was confusion, but now it is completely fair that in the end he is not going to be suspended."
The 27-year-old South Korean has scored five goals and provided three assists in 13 appearances in all competitions this season.