Are you asking about using a telescope in a dark dry location with your eyes to barely view the brightest known object at any given distance? or are you asking what is required to get a good look at the shape of the galaxies at some specific distance?
Originally Posted by keta
Or perhaps you are asking about being able to record such images with a really good expensive camera?
Just as a reference, I don't recall ever seeing a z=2 galaxy imaged by the 5 meter telescope on Mount Palomar. That thing was pretty expensive, and unless you're someone very wealthy, I'm guessing it is outside your budget.
Forming opinions as we speak