That's what I did with this mountain lion cub. I would have preferred that both eyes be in focus, but if I could only have one of them sharp (due to low light circumstances in combination with using a telephoto lens), then I'd choose the one closest to my shooting position.
More on Jim Zuckerman...
Article by Jim Zuckerman. To learn more about photography, explore the many online photography and Photoshop classes offered here at BetterPhoto.com.