The first few questions I’d ask are “do YOU think you are coachable?” and “if you ARE coachable, would you want to be coached?” and “what benefits do you feel you’d get from being coached?”.
In all honesty, coaching works ONLY if the coachee wants it to. The things I look for to identify if people are coachable are: strong values, self-awareness, desire and commitment. See What kind of things should I expect from coaching? for more thoughts.
