The retractable wheel system of the present invention may be installed on a snowmobile ski without affecting its structural integrity by installing the system on the reinforced portion of the snowmobile ski. When a user circulates in a path with little or no snow, the retractable wheel system is positioned in the extended configuration by the user and the system will automatically return to the retracted configuration when the user returns in a snowy zone. This is realized by using a pre-tensioned spring that will reposition the wheel in the retracted configuration. The spring transmits a rotational movement to the member on which the wheel is fixed.