Automate what you can, but even with automation in place, someone who understands what's being automated and how automation works still needs to be around to monitor and improve the system. Automation should only ever replace tasks with are safe and repetitive, to free up time for people, such as IT staff, or engineers, to focus on much more important tasks.
The way I would spin it to a boss ( and have before ), is this way: "I made a spread sheet and pie chart outlining where my time is spent each week on tasks X, Y and Z. As you can see I spend 10 hours a week on X which really has no reason to be a manual process. Which causes Y and Z to only get 30 hours of my attention, which I feel is to low. I was wondering if you I could look into automating X so that I can free up time to implement better monitors and issue resolution."
Generally the boss will be impressed, mostly at the chart and let you move your effort into something more meaningful without replacing you. Of course make sure to pad the chart so you look awesome :P