Hello, thank you for taking the time to post your question!
Yes, glycosis can occur in the absence of oxygen! In the process glucose is broken down into pyruvate and generates a small amount of ATP as a byproduct. None of those reactions specifically require oxygen, it just will complete the process in a less efficient way without the oxygen being present.
Hopefully that gets you moving in the right direction! Feel free to reach out with a message if you have any questions beyond that! :)