Eye tracking is a valuable tool in human-computer interaction providing insights into user behavior via gaze data or opportunities for novel gaze-based interaction methods. These new interaction methods can result in greater immersion and accessibility, which are particularly important in gaming. Several gaze-based interaction methods, such as dwell time and blinking, have been proposed in an attempt to balance interaction efficiency and accuracy with player fatigue. This study compares two such gaze-based interaction methods, the point-and-click and the drag-and-drop, in the context of a time-management game. In specific, 30 participants used a Tobii Pro Fusion eye tracker for both interaction methods and data were collected about their user experience and in-game efficiency. Statistical analysis showed that the drag-and-drop method led to significantly better perceived user experience in the dimensions of Attractiveness, Efficiency and Dependability. No significant difference was observed in terms of in-game efficiency.