Sleeves on slim dress shirts get very wrinkled.

[Bexcellence]

Is there any way to stop this?

you can see what Im saying on his lower right sleeve. That crunching up

 

[Lord Mulberry]

Personally I think it's too small. It's arkward trying to get the correct collar size and getting a shirt to fit elsewhere, esoecially if you're getting old and podgy like me. Most slim fits are are aimed at kids ... not that I'm jealous like

 

[Millerp]

There's no way to stop that on a cotton must iron shirt if you want such a tight sleeve.
A polyester no iron shirt might not wrinkle as much.

 

[Loathing]

A shirt with a heavier and softer fabric will also crease less. But, cotton shirts crease naturally, just as linen creases naturally; they're not supposed to look like t-shirts or elasticated fabric. If you're really averse to creases you can, as mentioned above, get non-iron shirts: Eton do such a shirt pretty well, but the non-iron treatment involves chemicals and isn't a mark of a really well-made shirt.