Originally Posted by OptionZero

Rears no problem

Fronts you'll want to buy some SPL upper control arms and have the ability to adjust camber. Negative camber will be required.

A fairly common setup is 265/35/19 and 305/30/19 rear. See here:
[Official] 370z wheel fitment guide (pics/specs) only

That guy is running 19x9.5 +22 front, 10.5 +12 rear with that same tire size. Rears are no sweat.

Your wheels are 10mm further outward that his fronts. That is why camber is needed. A couple degrees won't hurt anything.

If ur worried about clearance you can go to a 245/40/19 front and a 285/35/19 rear. Those are the stock sizes on nismos, same width wheels so no fitment problems

Oh hell, buy some Powertrix coilovers too, drop the height a couple inches and complete the look

Excellent choice on wheels. Everyone should own at least one set of te37s in their lifetime. A timeless classic