Plant the seed, add waterBring up your idea and be aware of the reaction. If the reaction is dismissive, don’t try to convince at that point. Let the idea work its way into the doubting minds. In the meantime, build your argument. Let’s say a few other ideas are brought up and tried, but ultimately fail. Your idea may be brought up by the person who dismissed it a few days ago. If this happens, try not to feel discouraged as ideas are cumulative and no one person deserves full credit.
Try/BuyIf the idea you have involves software, see if it is available on a trial basis. If so, install the software and configure it. Build a proof of concept. The best way to convince your management that your idea is a good one is to show it in action.