Generating interest for products without inventory?

Hey, I’m a bit new to selling products on Amazon, and I’m doing it on behalf of my company. We have some accessories and smaller workshop tools that are no longer live. Amazon says they won’t order more until there’s sufficient interest, but getting interest in a product that isn’t live is rather difficult. I keep telling my manager what Amazon tells me, but he keeps pushing me to get Amazon to make our products live again. I’m stuck between Amazon’s automated inventory system and my company’s desperate attempt to get stock out the door. Has anyone gotten out of this situation?