Honestly I've never written out a Pokemon battle, which is probably pretty relevant since the only RP I'm currently in is, in fact, a Pokemon journey one, ahaha.
However, I have in the past had characters who were quite skilled at fighting (within their setting. My favorite character, in this respect, was a very short, slim young man whose signature weapon was a stiletto knife. Had there existed guns, he would've been useless). How successful or how much I enjoyed writing out a fight has always, always depended on how willing the other RPer was to chat and plot with me. Always. It helps so much with the flow if there's some trust between the two writers, imo. If I can Skype someone asking, "Hey, my character is a very experienced fighter and he is going to do this, do you think your character could dodge it? Can I assume that a punch landed, can I assume that your character would fight back," etc., and likewise if I trust that if I say, "Oh go ahead and stab my character, it's cool" they know my character well enough to write that happening in a realistic way, it just goes so much better. It flows better, it's easier to write, it seems like a coherent fight instead of a choppy series of attempts at fighting.