I'm not sure that a link will make anyone more inclined to leave a review, but it will definitely make them more likely to leave one.
You don't need it, you see it, you buy it
One of the most important concepts in UX is visibility - whether or not users are aware of the options they are facing, or the actions they can take. Another aspect here is serendipity - the discovery of options you weren't aware of.
The brain is an associative machine that has a really bad short-term memory. There's a momentous psychological concept in play here, which explains, for instance, why most people buy in supermarket more than what's on their shopping list - you may not remember you need something, but seeing it will make you want it. Similarly, if you think for a second what cloths you need, you may have 2 items in your wish list, but if you just go with your fiancée to fashion shops, you are likely to buy many things you didn't actually think you'd need.
What may go in users' brain
So with a link, it goes like this:
- "Oh, there's a review link here; I really like this app but it's missing something, let's leave feedback."
Without the link, it goes like this:
(The user is doing something else)
I hope that explains it.
(As for the link location - this is a completely different issue and the question is whether you want users to leave feedback in the first place. I believe that a new question is appropriate if you wish to learn about strategies to achieve that.)
vs going out of their way to perform a task that's outside of their primary objective
how would you describe going back to the page in the app store to write a review? It's less out of the way in a menu, and on a Surface, for example, in the charms/settings menu (right side), that's even where I'd look for it.