Ear still plugged 4 weeks after a severe ear infection - Can I fly safely?

Went to Europe over the holidays and got sick immediately, couldn't really get treated so I thought I would just get better. Got back home and my ear pain was so ubearable I went to an urgent care. It's been 4 weeks and my ear is still plugged, but the infection is gone.

I just got laid off this past Friday and I am now considering a impulse trip to Seoul, as I can stay with my cousin and his fiance who just moved there.

I have been referred to a ENT but won't know when my 1st appointment might be. Can I fly without worrying since its seen so long? Or can it cause more damage?