There are remote codes on remotecentral for various California Audio remote controls. Do you know what model remote can with the player? They have codes for CL-5, CL-10, CL-20 and CL-25. If you have the right codes you should be able to use most universal remotes.
From looking at some pictures on line it looks like it might be a CL-10. remotes.com has a replacement remote. I just found this site by searching - I know nothing about it.