It's been a long time since I read some of the early fathers regarding this question, but I'm inclined to think some post-Nicenes might argue that Christ qua his humanity has limitations, but not qua his divinity. Indeed, it's hard to see how Trinitarians avoid the implication that the risen Lord, if he still has a body, must also have limitations associated with that body.
1. All human bodies have limitations.
2. Jesus has a human body.
3. Therefore, Jesus' body has limitations.
If Jesus Christ possesses a human body, then he has limitations by virtue of his corporeality just as I have limitations by virtue of mine. For instance, I can only inhabit one region of space-time moment by moment, not more than one region.
Now someone might insist that Christ has a glorified material body which is suitable for the heavenly sphere. This glorified body likewise is supposed to be free of the limitations that those of us with mundane (non-glorified) bodies now experience. However, granting that assumption/belief, it's still hard to understand how a human body becomes divested of all limitations since body by its very nature (analytically) implies limitation because a body by definition is what occupies space-time. Hence, why would a glorified body be immune to this general feature of all human/animal bodies?
I have not even dealt with the question of how the Incarnation assumes many things without proving them. Nor have I broached the question of how we know that the body Christ allegedly now has is the same body he sacrificed for our sins. Those questions will be saved for another day.