I've been told push a particular product to customers if at all possible. I'm okay with promoting it since it is a good product but I also hate when retail floor people come up to me and try and push something to me if I so much as glance in the direction of the product or am remotely associated with it. How should I go about pushing this thing without seeming like I'm pushing it?
I would be looking at definite things that your product does to help that person and mention those, also listen to your potential customer and take their information on board. Not only will that help your product in the future but the customer will remember you and your company as approachable.
If you need to do the hard-sell then do you have the right product for the person? Does it make its own purpose clear? If not then you might want to mention this to your company.