Quaritch: No, definitely not. Like Impressionists said, it just doesn't fit, and never would

Plus, he'd get bashed for bringing him back to life ^^
Selfridge on the other hand... Yeah, I can imagine that happening. He was, after all, just following orders, right? Maybe he figured he could hold Quaritch back, whilst he'd just get replaced by someone who might be even worse, if he was too merciful to the Na'vi.
I don't know... maybe he just did what he thought was the best action given the circumstances.