3 Penny Stocks To Watch This Week Are you looking for penny stocks to buy this week? If you answered, Yes, youâre not alone. Every weekend we get thousands of requests for new info on the markets and what to watch. Regardless if youâre trading penny stocks or looking for ways to invest, the starting point is usually the same: putting together a watch list.How Do You Put Together A Penny Stocks Watch List? It may seem relatively self-explanatory. Putting together your list of penny stocks to watch involves finding some letters and putting them on a piece of paper or a simple word file, right? Obviously, this is the process, but how do you find top penny stocks for the list?