Are autopilots allowed for IFR training?

Yes.

In point of fact many large ac are not hand flown, except rarely.

In point of fact, gear up, ap on, autoland armed on approach. Or it is
taken at minimums.

On very large ac, there really is no hand flying happening. And with
three autopilots, it is not even considered to be a possible failure.
Meaning on rides, you can, without penalty, rely on "Otto". Yes even
with an engine out.

Mxsmanic wrote:

Can you use an autopilot when training for or being examined for an
instrument rating, or do you have to fly the aircraft by hand?