I've never worked somewhere where the proper channels meant "coordinate with finance", but "file a bug/feature request to track this work and time time spent on it" should be standard. If it's not worth 5 minutes for the requester to do that, it's not worth however long it would take me.

This makes it easier to query and show what you've done in a time period. It makes it easier to go through the list of your assigned tasks and understand where it fits in the priority order.