i lost my airpod case with the right airpod but i have the left airpod and when i check the location to see where they are at it only shows my left airpod that i have

Sadly you will need to get a replacement. The Find My capability for AirPods is for the physical AirPods not the case so it will not be traceable.

Hi,

I found Airpods case this morning with the information you provided. Do you know where you lost your case (what city, state)? Also, can you provide the serial number?