Chinese Tourist Visa from South Korea for an Austrian traveller

I'm from Austria and in Soeul right now. My plan was to travel on to China.
Since i need a Korean Alien Registration Card to apply for a Visa for China i have following question:
Is it possible for me to get an Alien Registration Card, although i don't have a long term visa for Korea? (just a tourist visa for up to 90 days)
After obtaining an Alien Registration Card there should not be any problem to apply for a Chinese Visa, right? Or am i mistaken?
Thank you in advance for answering my question!