There are a lot of choices available for pasta drying racks, including high end models, budget friendly, several DIY options and, in a pinch, repurposing items you already have.
Which option you choose will depend on your budget, storage needs, and materials preference.
The Kitchenaide Pasta Drying Rack runs about $31. Although it is titled as an attachment, it is a freestanding rack. The legs can be folded down and the swivel arms flattened, so it doesn't take up too much storage space. The arms are clear plastic; not sure if the stand is stainless steel. Available at Amazon.
Here is a budget-friendly rack with swivel arms that you can attach to your cabinet doors. The swivel arms will lay flat against the door when not in use. When it's time to dry pasta, just pull out the arms as needed. Each arm is roughly 12 inches long. This is available from eBay. Shipping takes a while, so if you want it right away, you can also get it through Amazon.
Don't want to permanently attach anything to your cabinets? This portable rack can be attached and removed as needed. It folds up nicely in a drawer as well. When you're ready to make pasta, just attach it to the bottom of a cabinet or your countertop.
Get these for under $5 on eBay if you don't mind waiting a while for delivery. There are probably available elsewhere if you want it sooner.