Data point: I applied for one chase card and got pending. I called in, and got transferred to verification team. Now I have to submit proof of identity, and the application is pending. (7-10 days message when i call about it, but that's irrelevant.) I applied for two cards after that (waited until one was approved, them applied for second). I didn't call about either of them, and both were approved. (Admittedly, having to verify identity has nothing to do with approval, so me proof from here. Just pointing out that waiting isn't all that bad.)