This is a yes and no question. First it is important to have a dedicated server or VPS (Virtual Private Server) as it allows your shopping cart to have more resources.
We do not insist that you have a dedicated server but a VPS would be a good idea.
Our software has been found to run on some shared hosting accounts but not all shared hosting accounts allow users to have access to the memory they will need to run Auction Lister Pro. Therefore your mileage will vary depending on your provider.
We are also looking into several different ways to provide full access to those users on shared hosting setups.
If you would like more information on VPS providers we recommend you see our Resources page.
Which shared host does it run on?
Which shared host does it run on? and where can I find the resources page?