Are you referring to state-managed lands (e.g. WMAs)? That’s the only regulation in regards to that that I’m aware of.
Here’s the verbiage in the Hunting Guide below. I run mine at a local park where we have pheasant and woodcock, so I wont be disturbing the pheasant so that there are more in late summer and through the winter to give us some action.
When can I train my dog on public land?
Dogs may not be trained on DNR administered lands from April 16th to July 14th.