"So that our team is promoted from division 3 to division 2, I definitely want to win the next game"という翻訳が最も自然だと思います。

For learning: JAPANESE Base language: JAPANESE :-)

I'll try to write in English. I want to win definitely next game and want to make our team be promoted to division 2 from division 3.

I have no idea what you are asking. Do you not know any words in English?