You may purchase a wall mounted oscillating fan but you will find that because they are wall mounted, they tend to not have the 120 degree side to side oscillation that you may be seeking, though some few fans have been specifically engineered to offer you this much oscillation. These types of models tend to be rather expensive, thus the wall mounted oscillating fan will usually oscillate 90 degrees although if that feature is of supreme importance to you, you should check with the manufacturer prior to purchase.
A wall mounted oscillating fan will ordinarily come in a plethora of colors and styles, from the commercial fan that is made of durable metal with a tight metal grid to prevent injury such as what’s is seen in schools, to designer types which are often made of plastic including plastic fan blades that may actually come as see through blades or be colored to match the rest of the fan. These fans will come in designer colors too, such as Ivory, Dark Brown, Forest Green, Nickel or Chrome. You may also find them in Aqua, Grey, Turquoise, Dark Blue and even in various wrinkled finishes in paint or an industrial white powder coat finish. Or, you may opt for a very sophisticated textured bronze finish Naturally fans of almost any color can now be produced in plastic
Many commercial oscillating fans will have a three position ratchet setting in order to direct the desired airflow into the room when that fan happens to be mounted close to a corner. This is the same reason why a wall mounted oscillating fan usually has to capability of being locked into a non-oscillating position.