The first thing a buyer is going to ask their agent when they become interested in your home is "how long has it been on the market"? You may have asked your agent the same question when you purchased your home.
The reason your prospective buyer wants to know how long the home has been on the market is they are determining how they will negotiate with you. If a home has only been on the market a few days or a couple of weeks, the buyer will assume there won't be much room for negotiation and if they truly want the house, they will be more inclined to make a strong offer.
Conversly, if your home has been sitting on the market for several months, the prospective buyer will use your 'days on market' to negotiate against you, creating a 'buyer advantage' in negotiations. The longer you are on the market, the lower your offers will be (if you even get any offers at all). Most buyers consider homes that have been on the market a long time as 'stigmatized property' and will assume that something is wrong with them, since they are still available and haven't sold.
Most Multiple Listing Associations keep track of Cumulative Days on Market (CDOM) on all listings, so you cannot hide your days on market - it stays with your address for up to 8-10 years. This is why it is so important to put yourself in the best position possible to create a sale within 30 days after coming on the market, so you can negotiate from a position of strength with the buyer. Many sellers who choose to 'try the market' at a higher price, soon realize that they are now 'chasing the market' and eventually sell for far less than they would have if they had only been correctly positioned in the market in the first place. The 'parade' of buyers comes by only one time - when you are a new listing on the market. Re-creating that interest from the market weeks and months later is almost impossible and most buyers will have forgotten about your home in just a few short weeks.
Be very wary of an agent who tries to 'buy your listing' by asking you - 'what price do you want for your house:' and agrees to 'try it' at that price. It takes NO skill to just agree to your 'happy and hopeful' price and it can cost you many thousands of dollars, lost time, and a great deal of frustration and disappointment down the road. Your agent needs to be your advocate - which means they need to be willing to be honest with you about the price, even if it means you will be disappointed. Your agent needs to be honest with you about your market value and market conditions, as you will be making major life decisions based on this information. Make sure your agent takes a 'consultant' approach in their business, not a 'salesperson' approach (where they are looking just to get the listing).