This paper outlines the application of geometrically constrained extremum-seeking control (ESC) to optimize froth flotation circuits. Froth flotation is a complex process, presenting challenges for model-based optimization. Furthermore, the process depends on stable operations for performance, with PID control often utilized for this purpose. To address the problem of rigorous modeling and provide high adaptability to changing operational conditions, this paper suggests using geometrically constrained extremum-seeking control as a combined approach to reach optimal performance while stabilizing the process. For this purpose, we developed and performed simulations of a 4-cell flotation circuit. The simulations show how the controller can steer the four cells toward a stable (predefined) operation point and drive it toward an (unknown) optimum.