zambian in russia willing to go to china

Yes, you can apply for a China visa in Russia with the documents below:
1. your zambian passport
2. duly filled China vcisa application form V2011A & V2011B
3. on epassport standard photo
4. two-way air ticket
5. your residence permit in Russia
6. invitation letter from your family member in China, containing information of your full name, gender, date of birth, purpose of visit, date of arriving and leaving China, place of visit, relations between the applicant and the inviter, financial support during stay in China and information of the inviter's name, contact number, address and signature
7. copy of the inviter's passport and chinese residence permit

You may just walk into the visa office of the China embassy or consulate in person or entrust a travel/visa agent.