thought i’d give your post a reply, in the past iv asked guys out and in a perfect situation like the post before me said you could ask out this person that you really like. Though in this situation I’d be far more inclined to be extremely carely and subtle about liking him. Like you said he is your coach and if he isnt interested then you still have to see him when he come to coach it could be awkward. Also he has just had a major break up where although he proabably will resent his ex-gf for cheating on him that still doesnt take away the strong feelings he has for her, and you don’t want to end up being used as the rebound girl.
I think with your coach you should take baby steps, just have one on one conversations see what you have in common make eye contact, see if you get the right signals. Does he coach anywher else? perhaps you could offer to coach with him and so you could spend more time with him. Doing more stuff with him one on one will show you how much you like, and you’ll get to know him more and more. Then if you think your getting the right signals and its practically a sure thing, go for it! Guys like a bold girl and they often take a while to realise they like someone and to get the courage to ask them out.
Hope this helps