Can a person with healthy eye see things clearly if he/she uses spectacles? Let's first see the mechanism of working of concave lens for correction of myopia.
If a myopic eye has a near point less than infinity say 1 meter(m) then we use a concave lens of focal length 1, so that the rays from infinity appear to come from 1 meter before reaching our eye lens.
Now, consider a scenario where a person with healthy eyes tries to see a object at infinity using a concave lens . Similarly, the rays from infinity would appear to come from 1 meter and the person will be able to see the object simply because he/she can see an object placed at 1 meter clearly without weraring a spectacle. 
The argument shows that the a healthy person can clearly see objects at infinity even after wearing a concave lens. However, in real life I don't think this is true. My friends with healthy eye say that the vision is not clear after wearing glasses. Why is it so? 
 A: As Solomon Slow pointed out, there are several problems with your formulation.
But I think I understand what you asked and I will rephrase parts of it.
1-Your friend has what would be described as 20/20 (6/6 for the metric folks) vision (ability to recognize a 1arcmin feature 6m away, or 20ft), or better
2-The glasses he used were indeed for myopic correction and not other types
Then in theory he should be able to discern infinity as you formulated.
But then there are some biological constraints, and here my lingo may be wrong, but I hope I can explain things concisely.
When focusing to infinity, a persons lens' muscles are relaxed. This mean the eye lens is at its flattest. Typically, the brain also "commands" the eyes to look in a parallel fashion, meaning that if I am looking at a tower 2km away, both eyes have a very small converging angle between them (the angle is basically $2*\arctan(d_{\text{eye to nose}}/2\text{km})$). While looking at things at 1m distance, your converging angle is much wider (you are a bit cross-eyed). Biologically speaking, our brain does this automatically, both the focusing and the convergence, and for some people that do not need glasses, seeing through glasses makes this matter hard. It's NOT NORMAL for the eye to be relaxed while converging to a point nearby, nor is it normal for the lens' muscles to be contracted but converging to infinity. It becomes hard to converge both images on top of each other while having them both sharp.
However, through habituation it should be possible to train the brain to relearn how to look through those glasses.
