The 30-year-old's participation in the Qatar-based tournament was last week thrown into doubt when Son was forced off during the 2-1 win over Marseille with the injury.
Son, who is South Korea captain, has since undergone surgery on the damaged eye socket, and Spurs manager Antonio Conte was subsequently confident over his player's chances of playing at the World Cup.
The striker has since confirmed he will be available for selection.
He wrote on Instagram: "Hi everyone. I just wanted to take a moment to say thank you all for the messages of support I have received over the last week. I have read so many of them and truly, truly appreciate you all.
"In a tough time I received a lot of strength from you! Playing for your country at the World Cup is the dream of so many children growing up, just as it was one of mine too. I won’t miss this for the world.
"I can’t wait to represent our beautiful country, see you soon. Sonny."
South Korea's first Group H game is against Uruguay on November 24.