These clinics have been recommended by community members. Please feel free to add your personal experiences or additional recommendations to this post.

SAI orthodontic clinic

1538-10 Seocho-dong Seocho-gu Seoul

https://naver.me/Fm32rCPC

Upenn Barun Dental Clinic

https://naver.me/xtgfw3O3

Bright Dental Clinic

76-42 Hannam-dong Yongsan-gu Seoul

https://naver.me/GRzq7kQu 

This place is nearby, speaks English, and offers Invisalign. You can park in front of it on the sidewalk. 

Our seven year old also goes to Children's Dental Clinic but they are geared towards more elementary age children.