There's nothing wrong with shedding a tear or two as a man when the time is appropriate; we're not to be emotionless creatures. Crying is a perfectly natural and healthy response to emotional pain, loss, or even extreme bouts of joy, and the emotional out pore can sometimes be triggered by physical bouts of pain as well. If you choose to suppress this emotion, then it will most likely resurface elsewhere in ways that's highly destructive to both yourself and others.
That'd doesn't mean force yourself to cry. That's not what I'm saying. But what I am saying is that we have to be careful not to suppress our emotions that pave the way through the grieving process. If you're just not a crier, then that's fine. But if you're suppressing the urge because of some macho view of what a man should be, then that's just unhealthy. Grieving has to be worked through, not worked around or avoided.
Everyone grieves in a different way. Sometimes that involves crying, and sometimes that doesn't, but whether you cry or not has nothing to do with your manhood. Real men recognize their emotions and deal with them appropriately; they don't suppress them.