Naruto wouldn't even know what to do with the rinnegan )
And also it would make him even more overpowered. And it also doesn't fit his stile... He might gate it in the end... who knows.
But Itachi's gift isn't the rinnegan... if it was why did he hope Naruto never had to use it?
he might ust save it so he can rescue sasuke, he wouldnt give up for anybody