Steve,
Thanks for your interest in joining ZLC ARTCC. The time it takes to accept or reject a transfer requests varies depending on various circumstances. The first thing that occurs is a persons VATSIM record is reviewed which could include how many times a person has requested a transfer and why and any issues from other ARTCC/FIR. Staff meeting are sometimes arranged to review a record and make recommendations. I would also like to mention that your post makes it sound like your request has been languishing without any action being taken. You only requested a transfer yesterday and it sometimes takes a few days to be approved. Please be patient and the staff will get with you soon.