Non Nordic students need to prove their proficiency in oral and written aspects of Danish language. In some cases, you need to pass "Studieprøven i dansk som andetsprog" ("Study Test in Danish as a Second Language").
Considering the above facts, check the language requirement with your perspective host institution because they depend up on the study program you will be taking and may vary from one institute to another.
To get admission in Danish Institutes, Non EU citizens should have an equally recognized qualification as being comparable to Danish entrance qualifications.
Some institutes may ask all copies of all your educational documents with original stamps and signatures or you should get a sign from two people other than your relatives at the back of the copy with their name, address, and birth date. Few institutes mandatorily need documents directly from the issuing institution. Hence please check with the perspective institute regarding the admission concerns.
Note that as an international student you can take Danish lessons for free. In this way you may enroll first in an English-taught undergraduate programme and then continue your education in Danish at the graduate level once you have achieved the required Danish language skills.