I would wait till spring to do a leveling project. Zoysia is slow to recover, but it grows faster in spring. Well, I was told that and it did grow faster in the spring here.
And you can spot level first. By that, I mean to level just the deeper areas first. Go little by little first. Like 1/2 inch layers at a time. I did that here. I used a level and a flashlight at night to find the deeper spots. Dropped some soil and raked. Had to do that a couple of times.
I believe it's safer to wait till spring. I leveled my lawn about a month and a half (maybe 2 months?) ago. It's 100% recovered now.
But filled 2 ruts from a truck about 3 weeks ago. The deeper spots are still bare dirt, just a few blades coming through. And I'm in South Florida.
That said, I have a sample of fine-bladed zoysia in a pot and that recovers a lot faster from the top dressing. Actually, I topdressed it yesterday. Had a bit of sand I needed to get rid of, so I just dumped it on the zoysia. I believe that will be fine in 2 weeks. But because it's in a pot, I can nurse that thing closely.

 

I'd wait as noted above. Grass isn't growing right now.
Me, I'd be looking at May. March and April will be 70 one week and in the 40s the next (not warm enough).

 

You want to run the compactor over the lawn? Because the sod is not in contact with the soil, or you suspect the dirt is not compacted????

 

Because the topsoil is uneven. The grass looks flat but when you walk on it you can feel high spots.I can jump on them and compact them down. It should have been compacted before laying the sod. Just trying to fix it.

 

well... compacting the topsoil after the sod is laid is unconventional, but worth a try, if you want.

I bet it will settle with enough rain on its own.