Hi Deborah Buffalin,
Thanks for your reply, may I know if the team member was creating the swap request directly from the Shift APP of Teams? Please kindly confirm this with your users firstly.
Moreover, based on my test, you need to be the owner of this team to create and manage the swap requests for team members. If you are the owner of this team, please also login to the web-based Teams app to see if there is the same issue in there.
In addition, if you still cannot see the swap requests, try assign the owner permission to another team member as following picture and then let the team member re-create a new swap request and let the new owner check if he can see the swap requests.
Feel free to post back if you need further assistance after try above methods, I'll glad to provide further suggestions.
Best regards,
Jennifer