Is it possible for foreigners to rent an apartment in Itaewon?

Hello! I'm a foreigner who has been living in Korea for 6 months now. I'm currently trying to find a place to rent in Itaewon, but it's been really difficult because I keep getting rejected by real estate agents just because I'm a foreigner. I've tried using the Zigbang app and visited about 5 different real estate agencies, but they all said it would be difficult once they saw my foreigner registration card, which left me feeling disappointed. Has anyone had a similar experience? Can anyone recommend a good real estate agency or provide advice on how foreigners can get a lease or a loan for renting? I would really appreciate any advice or help you can offer. Thank you so much!