This is still in certiorari phase (i.e., SCOTUS hasn't decided whether or not to hear it), but there's already 15 separate briefs filed all urging SCOTUS to hear the case, and only Oracle is opposing it. There's nothing you can do at this point to urge SCOTUS as to whether or not to hear it.
Assuming that SCOTUS will hear the case (which is probably pretty likely--this is a Big, Important IP question which means the only reason not to hear it is if there's a better case coming along soon to hear it), the best chance at influence is an amicus curiae at that point. Talking to your company's legal representation is probably the best bet to get on one of the amicus curiae, but if you don't have any legal experience, you're probably not going to be capable of writing an effective amicus.