I have heard more than one client say, "Why do we need training? The new system's easy. Everyone will be able to figure it out on their own."
If someone at your organization says this to you, ask them to consider these questions:
Is everyone as technologically savvy as you?
Most likely, the answer is "No." I typically find that the people who don't think training is necessary are the people who are very comfortable with technology. Remind them that there are people in the organization who will struggle with learning a new system.
How quickly can people learn the system on their own? Are we willing to wait that long?
Even if the new system is extremely easy and people can learn it on their own, it will take them time. If your organization doesn't mind waiting for days, weeks, or even months while everyone figures it out, then you might not need a training...